@incollection {Andersen:WAEC,
    AUTHOR = {Andersen, J{\o}rgen Ellegaard},
     TITLE = {The asymptotic expansion conjecture},
 BOOKTITLE = {{P}roblems on Invariants of Knots and 3-Manifolds},
    SERIES = {Geom. Topol. Monogr.},
 PUBLISHER = {Mathematical Sciences Publishers},
    VOLUME = {4},
      YEAR = {2004},
     PAGES = {474--480},
}

@mics {AK:II,
    AUTHOR = {Andersen, J{\o}rgen Ellegaard and Kashaev, Rinat},
     TITLE = {A new formulation of the {T}eichm\"uller {TQFT}},
    EPRINT = {1305.4291},
}

@article {AK:I,
    AUTHOR = {Andersen, J{\o}rgen Ellegaard and Kashaev, Rinat},
     TITLE = {A {TQFT} from quantum {T}eichm\"uller theory},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {330},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {887--934},
       DOI = {10.1007/s00220-014-2073-2},
       URL = {https://doi.org/10.1007/s00220-014-2073-2},
    EPRINT = {1109.6295},
}

@inproceedings {AK:III,
    AUTHOR = {Andersen, J{\o}rgen Ellegaard and Kashaev, Rinat},
     TITLE = {The {T}eichm\"uller {TQFT}},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
              {M}athematicians---{R}io de {J}aneiro 2018. {V}ol.~{III}.
              {I}nvited lectures},
     PAGES = {2541--2565},
 PUBLISHER = {World Scientific Publishing, Hackensack, NJ},
      YEAR = {2019},
       DOI = {10.1142/9789813272880_0149},
       URL = {https://doi.org/10.1142/9789813272880_0149},
    EPRINT = {1811.06853},
}

@mics {AM:asymp,
    AUTHOR = {Andersen, J{\o}rgen Ellegaard and Misteg{\aa}rd, William Elb{\ae}k},
     TITLE = {The full asymptotic expansion of the {WRT}-invariant of all
              surgeries on the figure~8 knot},
      NOTE = {{i}n preparation},
}

@article {AM:res,
    AUTHOR = {Andersen, J{\o}rgen Ellegaard and Misteg{\aa}rd, William Elb{\ae}k},
     TITLE = {Resurgence analysis of quantum invariants of {S}eifert fibered
              homology spheres},
   JOURNAL = {J.~Lond. Math. Soc.},
  FJOURNAL = {Journal of the London Mathematical Society},
    VOLUME = {105},
      YEAR = {2022},
    NUMBER = {2},
     PAGES = {709--764},
       DOI = {10.1112/jlms.12506},
       URL = {https://doi.org/10.1112/jlms.12506},
    EPRINT = {1811.05376},
}

@article {BarNatanGar,
    AUTHOR = {Bar-Natan, Dror and Garoufalidis, Stavros},
     TITLE = {On the {M}elvin--{M}orton--{R}ozansky conjecture},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {125},
      YEAR = {1996},
    NUMBER = {1},
     PAGES = {103--133},
       DOI = {10.1007/s002220050070},
       URL = {https://doi.org/10.1007/s002220050070},
}

@mics {PARI,
    AUTHOR = {Batut, C. and Belabas, K. and Benardi, D. and Cohen, H. and
              Olivier, M.},
     TITLE = {User's guide to {PARI--GP}},
      NOTE = {{a}vailable at \url{ftp://megrez.math.u-bordeaux.fr/pub/pari}},
}

@article {BeemDimPas,
    AUTHOR = {Beem, Christopher and Dimofte, Tudor and Pasquetti, Sara},
     TITLE = {Holomorphic blocks in three dimensions},
   JOURNAL = {J.~High Energy Phys.},
  FJOURNAL = {Journal of High Energy Physics},
    VOLUME = {2014},
      YEAR = {2014},
    NUMBER = {12},
     PAGES = {no.~12, 177, 119~pages},
       DOI = {10.1007/JHEP12(2014)177},
       URL = {https://doi.org/10.1007/JHEP12(2014)177},
    EPRINT = {1211.1986},
}

@mics {BelBlaLe,
    AUTHOR = {Beliakova, Anna and Blanchet, Christian and Le, Thang},
     TITLE = {Laplace transform and universal $\mathfrak{sl}_2$ invariants},
    EPRINT = {math.QA/0509394},
}

@article {BetDrap,
    AUTHOR = {Bettin, Sandro and Drappeau, Sary},
     TITLE = {Modularity and value distribution of quantum invariants of
              hyperbolic knots},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {382},
      YEAR = {2022},
    NUMBER = {3-4},
     PAGES = {1631--1679},
       DOI = {10.1007/s00208-021-02288-2},
       URL = {https://doi.org/10.1007/s00208-021-02288-2},
    EPRINT = {1905.02045},
}

@article {Caliceti,
    AUTHOR = {Caliceti, E. and Meyer-Hermann, M. and Ribeca, P. and
              Surzhykov, A. and Jentschura, U. D.},
     TITLE = {From useful algorithms for slowly convergent series to
              physical predictions based on divergent perturbative
              expansions},
   JOURNAL = {Phys. Rep.},
  FJOURNAL = {Physics Reports. A Review Section of Physics Letters},
    VOLUME = {446},
      YEAR = {2007},
    NUMBER = {1--3},
     PAGES = {1--96},
       DOI = {10.1016/j.physrep.2007.03.003},
       URL = {https://doi.org/10.1016/j.physrep.2007.03.003},
    EPRINT = {0707.1596},
}

@article {CharlesMarche,
    AUTHOR = {Charles, Laurent and March\'e, Julien},
     TITLE = {Knot state asymptotics~{II}: {W}itten conjecture and
              irreducible representations},
   JOURNAL = {Publ. Math. Inst. Hautes \'Etudes Sci.},
  FJOURNAL = {Publications Math\'ematiques. Institut de Hautes \'Etudes
              Scientifiques},
    VOLUME = {121},
      YEAR = {2015},
     PAGES = {323--361},
       DOI = {10.1007/s10240-015-0069-x},
       URL = {https://doi.org/10.1007/s10240-015-0069-x},
    EPRINT = {1107.1646},
}

@article {ChenYang,
    AUTHOR = {Chen, Qingtao and Yang, Tian},
     TITLE = {Volume conjectures for the {R}eshetikhin--{T}uraev and the
              {T}uraev--{V}iro invariants},
   JOURNAL = {Quantum Topol.},
  FJOURNAL = {Quantum Topology},
    VOLUME = {9},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {419--460},
       DOI = {10.4171/QT/111},
       URL = {https://doi.org/10.4171/QT/111},
    EPRINT = {1503.02547},
}

@article {Cheng:3dmod,
    AUTHOR = {Cheng, Miranda C. N. and Chun, Sungbong and Ferrari, Francesca
              and Gukov, Sergei and Harrison, Sarah M.},
     TITLE = {3d~modularity},
   JOURNAL = {J.~High Energy Phys.},
  FJOURNAL = {Journal of High Energy Physics},
    VOLUME = {2019},
      YEAR = {2019},
    NUMBER = {10},
     PAGES = {no.~10, 010, 93~pages},
       DOI = {10.1007/jhep10(2019)010},
       URL = {https://doi.org/10.1007/jhep10(2019)010},
    EPRINT = {1809.10148},
}

@article {CCGLS,
    AUTHOR = {Cooper, D. and Culler, M. and Gillet, H. and Long, D. D. and
              Shalen, P. B.},
     TITLE = {Plane curves associated to character varieties of
              {$3$}-manifolds},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {118},
      YEAR = {1994},
    NUMBER = {1},
     PAGES = {47--84},
       DOI = {10.1007/BF01231526},
       URL = {https://doi.org/10.1007/BF01231526},
}

@article {CG:KZser,
    AUTHOR = {Costin, Ovidiu and Garoufalidis, Stavros},
     TITLE = {Resurgence of the {K}ontsevich--{Z}agier series},
   JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {61},
      YEAR = {2011},
    NUMBER = {3},
     PAGES = {1225--1258},
       DOI = {10.5802/aif.2639},
       URL = {https://doi.org/10.5802/aif.2639},
    EPRINT = {math.GT/0609619},
}

@mics {SnapPy,
    AUTHOR = {Culler, M. and Dunfield, N. and Goerner, M. and Weeks, J.},
     TITLE = {Snap{P}y, a~computer program for studying the geometry and
              topology of $3$-manifolds},
      NOTE = {{R}elease~3.0.3, available at \url{http://snappy.computop.org}},
}

@article {DGG,
    AUTHOR = {Dimofte, Tudor and Gaiotto, Davide and Gukov, Sergei},
     TITLE = {3-manifolds and 3d~indices},
   JOURNAL = {Adv. Theor. Math. Phys.},
  FJOURNAL = {Advances in Theoretical and Mathematical Physics},
    VOLUME = {17},
      YEAR = {2013},
    NUMBER = {5},
     PAGES = {975--1076},
       DOI = {10.4310/atmp.2013.v17.n5.a3},
       URL = {https://doi.org/10.4310/atmp.2013.v17.n5.a3},
    EPRINT = {1112.5179},
}

@article {DimGar:QC,
    AUTHOR = {Dimofte, Tudor and Garoufalidis, Stavros},
     TITLE = {The quantum content of the gluing equations},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry \& Topology},
    VOLUME = {17},
      YEAR = {2013},
    NUMBER = {3},
     PAGES = {1253--1315},
       DOI = {10.2140/gt.2013.17.1253},
       URL = {https://doi.org/10.2140/gt.2013.17.1253},
    EPRINT = {1202.6268},
}

@article {DimGar:II,
    AUTHOR = {Dimofte, Tudor and Garoufalidis, Stavros},
     TITLE = {Quantum modularity and complex {C}hern--{S}imons theory},
   JOURNAL = {Commun. Number Theory Phys.},
  FJOURNAL = {Communications in Number Theory and Physics},
    VOLUME = {12},
      YEAR = {2018},
    NUMBER = {1},
     PAGES = {1--52},
       DOI = {10.4310/CNTP.2018.v12.n1.a1},
       URL = {https://doi.org/10.4310/CNTP.2018.v12.n1.a1},
    EPRINT = {1511.05628},
}

@article {DGLZ,
    AUTHOR = {Dimofte, Tudor and Gukov, Sergei and Lenells, Jonatan and
              Zagier, Don},
     TITLE = {Exact results for perturbative {C}hern--{S}imons theory with
              complex gauge group},
   JOURNAL = {Commun. Number Theory Phys.},
  FJOURNAL = {Communications in Number Theory and Physics},
    VOLUME = {3},
      YEAR = {2009},
    NUMBER = {2},
     PAGES = {363--443},
       DOI = {10.4310/CNTP.2009.v3.n2.a4},
       URL = {https://doi.org/10.4310/CNTP.2009.v3.n2.a4},
    EPRINT = {0903.2472},
}

@article {Dimofte,
    AUTHOR = {Dimofte, Tudor},
     TITLE = {Quantum {R}iemann surfaces in {C}hern--{S}imons theory},
   JOURNAL = {Adv. Theor. Math. Phys.},
  FJOURNAL = {Advances in Theoretical and Mathematical Physics},
    VOLUME = {17},
      YEAR = {2013},
    NUMBER = {3},
     PAGES = {479--599},
       DOI = {10.4310/atmp.2013.v17.n3.a1},
       URL = {https://doi.org/10.4310/atmp.2013.v17.n3.a1},
    EPRINT = {1102.4847},
}

@mics {Folsom,
    AUTHOR = {Folsom, Amanda and Males, Joshua and Rolen, Larry and
              Storzer, Matthias},
     TITLE = {Oscillating asymptotics for a~{N}ahm-type sum and conjectures
              of {A}ndrews},
    EPRINT = {2305.16654},
}

@article {Gang,
    AUTHOR = {Gang, Dongmin and Romo, Mauricio and Yamazaki, Masahito},
     TITLE = {All-order volume conjecture for closed 3-manifolds from
              complex {C}hern--{S}imons theory},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {359},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {915--936},
       DOI = {10.1007/s00220-018-3115-y},
       URL = {https://doi.org/10.1007/s00220-018-3115-y},
    EPRINT = {1704.00918},
}

@article {Gang3d,
    AUTHOR = {Gang, Dongmin and Yonekura, Kazuya},
     TITLE = {Symmetry enhancement and closing of knots in 3d/3d
              correspondence},
   JOURNAL = {J.~High Energy Phys.},
  FJOURNAL = {Journal of High Energy Physics},
    VOLUME = {2018},
      YEAR = {2018},
    NUMBER = {7},
     PAGES = {no.~7, 145, 58~pages},
       DOI = {10.1007/jhep07(2018)145},
       URL = {https://doi.org/10.1007/jhep07(2018)145},
}

@mics {Gar:untraptalk,
    AUTHOR = {Garoufalidis, Stavros},
     TITLE = {State integrals, the quantum dilog, and knots},
      NOTE = {{L}ecture, 18~{S}eptember, 2018, {M}ax {P}lanck Institute
              for Mathematics},
}

@article {Gar:resCS,
    AUTHOR = {Garoufalidis, Stavros},
     TITLE = {{C}hern--{S}imons theory, analytic continuation and arithmetic},
   JOURNAL = {Acta Math. Vietnam.},
  FJOURNAL = {Acta Mathematica Vietnamica},
    VOLUME = {33},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {335--362},
    EPRINT = {0711.1716},
}

@article {Gar3d,
    AUTHOR = {Garoufalidis, Stavros},
     TITLE = {The 3{D} index of an ideal triangulation and angle structures},
   JOURNAL = {Ramanujan~J.},
  FJOURNAL = {Ramanujan Journal. An International Journal Devoted to the
              Areas of Mathematics Influenced by Ramanujan},
    VOLUME = {40},
      YEAR = {2016},
    NUMBER = {3},
     PAGES = {573--604},
       DOI = {10.1007/s11139-016-9771-7},
       URL = {https://doi.org/10.1007/s11139-016-9771-7},
    EPRINT = {1208.1663},
}

@article {GGM:II,
    AUTHOR = {Garoufalidis, Stavros and Gu, Jie and Mari\~no, Marcos},
     TITLE = {Peacock patterns and resurgence in complex {C}hern--{S}imons
              theory},
   JOURNAL = {Res. Math. Sci.},
  FJOURNAL = {Research in the Mathematical Sciences},
    VOLUME = {10},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {29, 67~pages},
       DOI = {10.1007/s40687-023-00391-1},
       URL = {https://doi.org/10.1007/s40687-023-00391-1},
    EPRINT = {2012.00062},
}

@article {GGM:I,
    AUTHOR = {Garoufalidis, Stavros and Gu, Jie and Mari\~no, Marcos},
     TITLE = {The resurgent structure of quantum knot invariants},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {386},
      YEAR = {2021},
    NUMBER = {1},
     PAGES = {469--493},
       DOI = {10.1007/s00220-021-04076-0},
       URL = {https://doi.org/10.1007/s00220-021-04076-0},
    EPRINT = {2007.10190},
}

@article {GGMW,
    AUTHOR = {Garoufalidis, Stavros and Gu, Jie and Mari\~no, Marcos and
              Wheeler, Campbell},
     TITLE = {Resurgence of {C}hern--{S}imons theory at the trivial
              flat connection},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {406},
      YEAR = {2025},
    NUMBER = {1},
     PAGES = {20, 60~pages},
       DOI = {10.1007/s00220-024-05149-6},
       URL = {https://doi.org/10.1007/s00220-024-05149-6},
    EPRINT = {2111.04763},
}

@article {GK:rat,
    AUTHOR = {Garoufalidis, Stavros and Kashaev, Rinat},
     TITLE = {Evaluation of state integrals at rational points},
   JOURNAL = {Commun. Number Theory Phys.},
  FJOURNAL = {Communications in Number Theory and Physics},
    VOLUME = {9},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {549--582},
       DOI = {10.4310/CNTP.2015.v9.n3.a3},
       URL = {https://doi.org/10.4310/CNTP.2015.v9.n3.a3},
    EPRINT = {1411.6062},
}

@article {GK:qser,
    AUTHOR = {Garoufalidis, Stavros and Kashaev, Rinat},
     TITLE = {From state integrals to {$q$}-series},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {24},
      YEAR = {2017},
    NUMBER = {3},
     PAGES = {781--801},
       DOI = {10.4310/MRL.2017.v24.n3.a8},
       URL = {https://doi.org/10.4310/MRL.2017.v24.n3.a8},
    EPRINT = {1304.2705},
}

@article {GK:3dind,
    AUTHOR = {Garoufalidis, Stavros and Kashaev, Rinat},
     TITLE = {A meromorphic extension of the 3{D} index},
   JOURNAL = {Res. Math. Sci.},
  FJOURNAL = {Research in the Mathematical Sciences},
    VOLUME = {6},
      YEAR = {2019},
    NUMBER = {1},
     PAGES = {8, 34~pages},
       DOI = {10.1007/s40687-018-0166-9},
       URL = {https://doi.org/10.1007/s40687-018-0166-9},
    EPRINT = {1706.08132},
}

@mics {GarLe:module,
    AUTHOR = {Garoufalidis, Stavros and L\^e, Thang T. Q.},
     TITLE = {From 3-dimensional skein theory to functions near~{$\mathbb{Q}$}},
    EPRINT = {2307.09135},
}

@article {GarLe:asymp,
    AUTHOR = {Garoufalidis, Stavros and L\^e, Thang T. Q.},
     TITLE = {Asymptotics of the colored {J}ones function of a~knot},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry \& Topology},
    VOLUME = {15},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {2135--2180},
       DOI = {10.2140/gt.2011.15.2135},
       URL = {https://doi.org/10.2140/gt.2011.15.2135},
    EPRINT = {math.GT/0508100},
}

@mics {GSW,
    AUTHOR = {Garoufalidis, Stavros and Storzer, Matthias and Wheeler, Campbell},
     TITLE = {Perturbative invariants of cusped hyperbolic 3-manifolds},
    EPRINT = {2305.14884},
}

@mics {GW:qmod,
    AUTHOR = {Garoufalidis, Stavros and Wheeler, Campbell},
     TITLE = {Modular $q$-holonomic modules},
    EPRINT = {2203.17029},
}

@article {GZ:qser,
    AUTHOR = {Garoufalidis, Stavros and Zagier, Don},
     TITLE = {Knots and their related {$q$}-series},
   JOURNAL = {SIGMA},
  FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
              Applications},
    VOLUME = {19},
      YEAR = {2023},
     PAGES = {082, 39~pages},
       DOI = {10.3842/SIGMA.2023.082},
       URL = {https://doi.org/10.3842/SIGMA.2023.082},
    EPRINT = {2304.09377},
}

@article {GZ:RQMOD,
    AUTHOR = {Garoufalidis, Stavros and Zagier, Don},
     TITLE = {Knots, perturbative series and quantum modularity},
   JOURNAL = {SIGMA},
  FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
              Applications},
    VOLUME = {20},
      YEAR = {2024},
     PAGES = {055, 87~pages},
       DOI = {10.3842/SIGMA.2024.055},
       URL = {https://doi.org/10.3842/SIGMA.2024.055},
    EPRINT = {2111.06645},
}

@article {GZ:asympnahm,
    AUTHOR = {Garoufalidis, Stavros and Zagier, Don},
     TITLE = {Asymptotics of {N}ahm sums at roots of unity},
   JOURNAL = {Ramanujan~J.},
  FJOURNAL = {Ramanujan Journal. An International Journal Devoted to the
              Areas of Mathematics Influenced by Ramanujan},
    VOLUME = {55},
      YEAR = {2021},
    NUMBER = {1},
     PAGES = {219--238},
       DOI = {10.1007/s11139-020-00266-x},
       URL = {https://doi.org/10.1007/s11139-020-00266-x},
    EPRINT = {1812.07690},
}

@article {GrassiGM,
    AUTHOR = {Grassi, Alba and Gu, Jie and Mari\~no, Marcos},
     TITLE = {Non-perturbative approaches to the quantum {S}eiberg--{W}itten
              curve},
   JOURNAL = {J.~High Energy Phys.},
  FJOURNAL = {Journal of High Energy Physics},
    VOLUME = {2020},
      YEAR = {2020},
    NUMBER = {7},
     PAGES = {no.~7, 106, 50~pages},
       DOI = {10.1007/jhep07(2020)106},
       URL = {https://doi.org/10.1007/jhep07(2020)106},
    EPRINT = {1908.07065},
}

@article {GrMoree,
    AUTHOR = {Gr\"unberg, Daniel B. and Moree, Pieter},
     TITLE = {Sequences of enumerative geometry: congruences and
              asymptotics},
   JOURNAL = {Experiment. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {17},
      YEAR = {2008},
    NUMBER = {4},
     PAGES = {409--426},
       DOI = {10.1080/10586458.2008.10128870},
       URL = {https://doi.org/10.1080/10586458.2008.10128870},
    EPRINT = {math.NT/0610286},
}

@article {Gukov,
    AUTHOR = {Gukov, Sergei},
     TITLE = {Three-dimensional quantum gravity, {C}hern--{S}imons theory,
              and the {A}-polynomial},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {255},
      YEAR = {2005},
    NUMBER = {3},
     PAGES = {577--627},
       DOI = {10.1007/s00220-005-1312-y},
       URL = {https://doi.org/10.1007/s00220-005-1312-y},
    EPRINT = {hep-th/0306165},
}

@article {GukovMan,
    AUTHOR = {Gukov, Sergei and Manolescu, Ciprian},
     TITLE = {A two-variable series for knot complements},
   JOURNAL = {Quantum Topol.},
  FJOURNAL = {Quantum Topology},
    VOLUME = {12},
      YEAR = {2021},
    NUMBER = {1},
     PAGES = {1--109},
       DOI = {10.4171/qt/145},
       URL = {https://doi.org/10.4171/qt/145},
    EPRINT = {1904.06057},
}

@mics {GMP,
    AUTHOR = {Gukov, Sergei and Mari\~no, Marcos and Putrov, Pavel},
     TITLE = {Resurgence in complex {C}hern--{S}imons theory},
    EPRINT = {1605.07615},
}

@article {GPPV,
    AUTHOR = {Gukov, Sergei and Pei, Du and Putrov, Pavel and Vafa, Cumrun},
     TITLE = {B{PS} spectra and 3-manifold invariants},
   JOURNAL = {J.~Knot Theory Ramifications},
  FJOURNAL = {Journal of Knot Theory and its Ramifications},
    VOLUME = {29},
      YEAR = {2020},
    NUMBER = {2},
     PAGES = {2040003, 85~pages},
       DOI = {10.1142/S0218216520400039},
       URL = {https://doi.org/10.1142/S0218216520400039},
    EPRINT = {1701.06567},
}

@article {GPV,
    AUTHOR = {Gukov, Sergei and Putrov, Pavel and Vafa, Cumrun},
     TITLE = {Fivebranes and 3-manifold homology},
   JOURNAL = {J.~High Energy Phys.},
  FJOURNAL = {Journal of High Energy Physics},
    VOLUME = {2017},
      YEAR = {2017},
    NUMBER = {7},
     PAGES = {no.~7, 071, 81~pages},
       DOI = {10.1007/JHEP07(2017)071},
       URL = {https://doi.org/10.1007/JHEP07(2017)071},
    EPRINT = {1602.05302},
}

@article {Hikami:stateint,
    AUTHOR = {Hikami, Kazuhiro},
     TITLE = {Hyperbolic structure arising from a knot invariant},
   JOURNAL = {Internat.~J.~Modern Phys.~A},
  FJOURNAL = {International Journal of Modern Physics A. Particles and
              Fields. Gravitation. Cosmology},
    VOLUME = {16},
      YEAR = {2001},
    NUMBER = {19},
     PAGES = {3309--3333},
       DOI = {10.1142/S0217751X0100444X},
       URL = {https://doi.org/10.1142/S0217751X0100444X},
    EPRINT = {math-ph/0105039},
}

@article {Hikami,
    AUTHOR = {Hikami, Kazuhiro},
     TITLE = {Mock (false) theta functions as quantum invariants},
   JOURNAL = {Regul. Chaotic Dyn.},
  FJOURNAL = {Regular \& Chaotic Dynamics. International Scientific Journal},
    VOLUME = {10},
      YEAR = {2005},
    NUMBER = {4},
     PAGES = {509--530},
       DOI = {10.1070/RD2005v010n04ABEH000328},
       URL = {https://doi.org/10.1070/RD2005v010n04ABEH000328},
    EPRINT = {math-ph/0506073},
}

@article {Jones,
    AUTHOR = {Jones, Vaughan F. R.},
     TITLE = {A polynomial invariant for knots via von {N}eumann algebras},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
    VOLUME = {12},
      YEAR = {1985},
    NUMBER = {1},
     PAGES = {103--111},
       DOI = {10.1090/S0273-0979-1985-15304-2},
       URL = {https://doi.org/10.1090/S0273-0979-1985-15304-2},
}

@article {JonesII,
    AUTHOR = {Jones, Vaughan F. R.},
     TITLE = {Hecke algebra representations of braid groups and link
              polynomials},
   JOURNAL = {Ann. of Math.},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {126},
      YEAR = {1987},
    NUMBER = {2},
     PAGES = {335--388},
       DOI = {10.2307/1971403},
       URL = {https://doi.org/10.2307/1971403},
}

@article {Kashaev:VC,
    AUTHOR = {Kashaev, R. M.},
     TITLE = {The hyperbolic volume of knots from the quantum dilogarithm},
   JOURNAL = {Lett. Math. Phys.},
  FJOURNAL = {Letters in Mathematical Physics},
    VOLUME = {39},
      YEAR = {1997},
    NUMBER = {3},
     PAGES = {269--275},
       DOI = {10.1023/A:1007364912784},
       URL = {https://doi.org/10.1023/A:1007364912784},
    EPRINT = {q-alg/9601025},
}

@article {Khovanov,
    AUTHOR = {Khovanov, Mikhail},
     TITLE = {A categorification of the {J}ones polynomial},
   JOURNAL = {Duke Math.~J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {101},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {359--426},
       DOI = {10.1215/S0012-7094-00-10131-7},
       URL = {https://doi.org/10.1215/S0012-7094-00-10131-7},
    EPRINT = {math.QA/9908171},
}

@article {LawrenceZag,
    AUTHOR = {Lawrence, Ruth and Zagier, Don},
     TITLE = {Modular forms and quantum invariants of {$3$}-manifolds},
   JOURNAL = {Asian~J.~Math.},
  FJOURNAL = {Asian Journal of Mathematics},
    VOLUME = {3},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {93--107},
       DOI = {10.4310/AJM.1999.v3.n1.a5},
       URL = {https://doi.org/10.4310/AJM.1999.v3.n1.a5},
}

@mics {Marino,
    AUTHOR = {Mari\~no, M.},
     TITLE = {From resurgence to {BPS} states},
      NOTE = {{T}alk, Strings 2019, Brussels},
}

@article {MelvinMorton,
    AUTHOR = {Melvin, P. M. and Morton, H. R.},
     TITLE = {The coloured {J}ones function},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {169},
      YEAR = {1995},
    NUMBER = {3},
     PAGES = {501--520},
       DOI = {10.1007/BF02099310},
       URL = {https://doi.org/10.1007/BF02099310},
}

@article {Murakami2,
    AUTHOR = {Murakami, Hitoshi and Murakami, Jun},
     TITLE = {The colored {J}ones polynomials and the simplicial volume of
              a~knot},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {186},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {85--104},
       DOI = {10.1007/BF02392716},
       URL = {https://doi.org/10.1007/BF02392716},
    EPRINT = {math.GT/9905075},
}

@incollection {Nahm:Blochgrp,
    AUTHOR = {Nahm, Werner},
     TITLE = {Conformal field theory and torsion elements of the {B}loch
              group},
 BOOKTITLE = {Frontiers in Number Theory, Physics, and Geometry.~{II}},
     PAGES = {67--132},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2007},
       DOI = {10.1007/978-3-540-30308-4\_2},
       URL = {https://doi.org/10.1007/978-3-540-30308-4_2},
    EPRINT = {hep-th/0404120},
}

@article {Neu:Ext,
    AUTHOR = {Neumann, Walter D.},
     TITLE = {Extended {B}loch group and the {C}heeger--{C}hern--{S}imons
              class},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry and Topology},
    VOLUME = {8},
      YEAR = {2004},
     PAGES = {413--474},
       DOI = {10.2140/gt.2004.8.413},
       URL = {https://doi.org/10.2140/gt.2004.8.413},
    EPRINT = {math.GT/0307092},
}

@article {NeuZag,
    AUTHOR = {Neumann, Walter D. and Zagier, Don},
     TITLE = {Volumes of hyperbolic three-manifolds},
   JOURNAL = {Topology},
  FJOURNAL = {Topology. An International Journal of Mathematics},
    VOLUME = {24},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {307--332},
       DOI = {10.1016/0040-9383(85)90004-7},
       URL = {https://doi.org/10.1016/0040-9383(85)90004-7},
}

@article {Ohtsuki:VCYVC,
    AUTHOR = {Ohtsuki, Tomotada},
     TITLE = {On the asymptotic expansion of the quantum {$\rm SU(2)$}
              invariant at {$q=\exp(4\pi\sqrt{-1}/N)$} for closed hyperbolic
              3-manifolds obtained by integral surgery along the
              figure-eight knot},
   JOURNAL = {Algebr. Geom. Topol.},
  FJOURNAL = {Algebraic \& Geometric Topology},
    VOLUME = {18},
      YEAR = {2018},
    NUMBER = {7},
     PAGES = {4187--4274},
       DOI = {10.2140/agt.2018.18.4187},
       URL = {https://doi.org/10.2140/agt.2018.18.4187},
}

@book {Olver,
    AUTHOR = {Olver, Frank W. J.},
     TITLE = {Asymptotics and special functions},
    SERIES = {AKP Classics},
 PUBLISHER = {AK Peters/CRC Press, Ltd., Wellesley, MA},
      YEAR = {1997},
     PAGES = {xviii+592},
       DOI = {10.1201/9781439864548},
       URL = {https://doi.org/10.1201/9781439864548},
}

@mics {Park,
    AUTHOR = {Park, Sunghyuk},
     TITLE = {Inverted state sums, inverted {H}abiro series, and indefinite
              theta functions},
    EPRINT = {2106.03942},
}

@article {RT:rib,
    AUTHOR = {Reshetikhin, N. Yu. and Turaev, V. G.},
     TITLE = {Ribbon graphs and their invariants derived from quantum
              groups},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {127},
      YEAR = {1990},
    NUMBER = {1},
     PAGES = {1--26},
       DOI = {10.1007/BF02096491},
       URL = {https://doi.org/10.1007/BF02096491},
}

@article {RT:3man,
    AUTHOR = {Reshetikhin, N. Yu. and Turaev, V. G.},
     TITLE = {Invariants of {$3$}-manifolds via link polynomials and quantum
              groups},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {103},
      YEAR = {1991},
    NUMBER = {3},
     PAGES = {547--597},
       DOI = {10.1007/BF01239527},
       URL = {https://doi.org/10.1007/BF01239527},
}

@article {Rozansky,
    AUTHOR = {Rozansky, L.},
     TITLE = {The universal {$R$}-matrix, {B}urau representation, and the
              {M}elvin--{M}orton expansion of the colored {J}ones polynomial},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {134},
      YEAR = {1998},
    NUMBER = {1},
     PAGES = {1--31},
       DOI = {10.1006/aima.1997.1661},
       URL = {https://doi.org/10.1006/aima.1997.1661},
}

@mics {oeis,
    AUTHOR = {Sloane, Neil J. A., {\relax{et al}}},
     TITLE = {The on-line encyclopedia of integer sequences},
      NOTE = {2024, \url{https://oeis.org}},
}

@book {Thurston:GT3M,
    AUTHOR = {Thurston, William P.},
     TITLE = {The geometry and topology of three-manifolds},
 PUBLISHER = {Princeton University},
      YEAR = {1979},
     PAGES = {ix+58},
}

@article {Thurston:8geo,
    AUTHOR = {Thurston, William P.},
     TITLE = {Three-dimensional manifolds, {K}leinian groups and hyperbolic
              geometry},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
    VOLUME = {6},
      YEAR = {1982},
    NUMBER = {3},
     PAGES = {357--381},
       DOI = {10.1090/S0273-0979-1982-15003-0},
       URL = {https://doi.org/10.1090/S0273-0979-1982-15003-0},
}

@book {Turaev:book,
    AUTHOR = {Turaev, Vladimir G.},
     TITLE = {Quantum invariants of knots and 3-manifolds},
    SERIES = {De Gruyter Stud. Math.},
    VOLUME = {18},
   EDITION = {Third},
 PUBLISHER = {De Gruyter, Berlin},
      YEAR = {2016},
     PAGES = {xii+596},
       DOI = {10.1515/9783110435221},
       URL = {https://doi.org/10.1515/9783110435221},
}

@phdthesis {Wh:thesis,
    AUTHOR = {Wheeler, C.},
     TITLE = {Modular $q$-difference equations and quantum invariants of
              hyperbolic three-manifolds},
      NOTE = {{R}heinische Friedrich-Wilhelms-Universit\"at Bonn, 2023, available at \url{https://hdl.handle.net/20.500.11811/10811}},
}

@article {WilfZeil,
    AUTHOR = {Wilf, Herbert S. and Zeilberger, Doron},
     TITLE = {An algorithmic proof theory for hypergeometric (ordinary and
              ``{$q$}'') multisum/integral identities},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {108},
      YEAR = {1992},
    NUMBER = {3},
     PAGES = {575--633},
       DOI = {10.1007/BF02100618},
       URL = {https://doi.org/10.1007/BF02100618},
}

@article {Witten,
    AUTHOR = {Witten, Edward},
     TITLE = {Quantum field theory and the {J}ones polynomial},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {121},
      YEAR = {1989},
    NUMBER = {3},
     PAGES = {351--399},
       DOI = {10.1007/BF01217730},
       URL = {https://doi.org/10.1007/BF01217730},
}

@incollection {Witten:ancon,
    AUTHOR = {Witten, Edward},
     TITLE = {Analytic continuation of {C}hern--{S}imons theory},
 BOOKTITLE = {{C}hern--{S}imons Gauge Theory: 20 Years After},
    SERIES = {AMS/IP Stud. Adv. Math.},
    VOLUME = {50},
     PAGES = {347--446},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2011},
       DOI = {10.1090/amsip/050/19},
       URL = {https://doi.org/10.1090/amsip/050/19},
    EPRINT = {1001.2933},
}

@article {Yoshida:eta,
    AUTHOR = {Yoshida, Tomoyoshi},
     TITLE = {The {$\eta$}-invariant of hyperbolic {$3$}-manifolds},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {81},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {473--514},
       DOI = {10.1007/BF01388583},
       URL = {https://doi.org/10.1007/BF01388583},
}

@mics {Zagier:qmod.hol.lec,
    AUTHOR = {Zagier, Don},
     TITLE = {Holomorphic quantum modular forms},
      NOTE = {{L}ecture, 28~{F}ebuary 2020, {H}ausdorff Center for Mathematics,
              available at \url{https://www.youtube.com/watch?v=2Rj_xh3UKrU}},
}

@article {Zagier:Vas,
    AUTHOR = {Zagier, Don},
     TITLE = {Vassiliev invariants and a strange identity related to the
              {D}edekind eta-function},
   JOURNAL = {Topology},
  FJOURNAL = {Topology. An International Journal of Mathematics},
    VOLUME = {40},
      YEAR = {2001},
    NUMBER = {5},
     PAGES = {945--960},
       DOI = {10.1016/S0040-9383(00)00005-7},
       URL = {https://doi.org/10.1016/S0040-9383(00)00005-7},
}

@incollection {Zagier:Dilog,
    AUTHOR = {Zagier, Don},
     TITLE = {The dilogarithm function},
 BOOKTITLE = {Frontiers in Number Theory, Physics, and Geometry.~{II}},
     PAGES = {3--65},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2007},
       DOI = {10.1007/978-3-540-30308-4\_1},
       URL = {https://doi.org/10.1007/978-3-540-30308-4_1},
}

@incollection {Zagier:Qmod,
    AUTHOR = {Zagier, Don},
     TITLE = {Quantum modular forms},
 BOOKTITLE = {Quanta of Maths},
    SERIES = {Clay Math. Proc.},
    VOLUME = {11},
     PAGES = {659--675},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2010},
}

@article {Zeilberger,
    AUTHOR = {Zeilberger, Doron},
     TITLE = {A holonomic systems approach to special functions identities},
   JOURNAL = {J.~Comput. Appl. Math.},
  FJOURNAL = {Journal of Computational and Applied Mathematics},
    VOLUME = {32},
      YEAR = {1990},
    NUMBER = {3},
     PAGES = {321--368},
       DOI = {10.1016/0377-0427(90)90042-X},
       URL = {https://doi.org/10.1016/0377-0427(90)90042-X},
}
