@phdthesis {balskir,
    AUTHOR = {Balsam, Benjamin},
     TITLE = {Turaev--{V}iro theory as an extended {TQFT}},
      NOTE = {{S}tate {U}niversity of New York at Stony Brook, 2010},
    EPRINT = {1004.1533},
}

@article {bw-sphcats,
    AUTHOR = {Barrett, John W. and Westbury, Bruce W.},
     TITLE = {Spherical categories},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {143},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {357--375},
       DOI = {10.1006/aima.1998.1800},
       URL = {https://doi.org/10.1006/aima.1998.1800},
    EPRINT = {hep-th/9310164},
}

@article {bms-tricatdiagrams,
    AUTHOR = {Barrett, John W. and Meusburger, Catherine and Schaumann,
              Gregor},
     TITLE = {Gray categories with duals and their diagrams},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {450},
      YEAR = {2024},
     PAGES = {109740, 129~pages},
       DOI = {10.1016/j.aim.2024.109740},
       URL = {https://doi.org/10.1016/j.aim.2024.109740},
    EPRINT = {1211.0529},
}

@mics {bdspv-modcats-cobreps,
    AUTHOR = {Bartlett, B. and Douglas, C. and Schommer-Pries, C. and Vicary, J.},
     TITLE = {Modular categories as representations of the 3-dimensional bordism 2-category},
    EPRINT = {1509.06811},
}

@mics {carqueville-orbifolds-tft,
    AUTHOR = {Carqueville, Nils},
     TITLE = {Orbifolds of topological quantum field theories},
    EPRINT = {2307.16674},
}

@article {cms-tricat-tfts,
    AUTHOR = {Carqueville, Nils and Meusburger, Catherine and Schaumann,
              Gregor},
     TITLE = {3-dimensional defect {TQFT}s and their tricategories},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {364},
      YEAR = {2020},
     PAGES = {107024, 58~pages},
       DOI = {10.1016/j.aim.2020.107024},
       URL = {https://doi.org/10.1016/j.aim.2020.107024},
    EPRINT = {1603.01171},
}

@mics {cm-orb-tricats,
    AUTHOR = {Carqueville, Nils and M\"uller, Lukas},
     TITLE = {Orbifold completion of 3-categories},
    EPRINT = {2307.06485},
}

@article {crs-orbifolds,
    AUTHOR = {Carqueville, Nils and Runkel, Ingo and Schaumann, Gregor},
     TITLE = {Orbifolds of {$n$}-dimensional defect {TQFT}s},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry \& Topology},
    VOLUME = {23},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {781--864},
       DOI = {10.2140/gt.2019.23.781},
       URL = {https://doi.org/10.2140/gt.2019.23.781},
    EPRINT = {1705.06085},
}

@incollection {czr-top-def,
    AUTHOR = {Carqueville, Nils and Zotto, Michele Del and Runkel, Ingo},
     TITLE = {Topological defects},
 BOOKTITLE = {Encyclopedia of Mathematical Physics, Vol.~5},
     PAGES = {621--647},
 PUBLISHER = {Elsevier},
      YEAR = {2025},
       DOI = {110.1016/B978-0-323-95703-8.00098-7},
       URL = {https://doi.org/10.1016/B978-0-323-95703-8.00098-7},
    EPRINT = {2311.02449},
}

@article {costello-calabiyau,
    AUTHOR = {Costello, Kevin},
     TITLE = {Topological conformal field theories and {C}alabi--{Y}au
              categories},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {210},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {165--214},
       DOI = {10.1016/j.aim.2006.06.004},
       URL = {https://doi.org/10.1016/j.aim.2006.06.004},
    EPRINT = {math.QA/0412149},
}

@incollection {dkr-defect-tfts,
    AUTHOR = {Davydov, Alexei and Kong, Liang and Runkel, Ingo},
     TITLE = {Field theories with defects and the centre functor},
 BOOKTITLE = {Mathematical {F}oundations of {Q}uantum {F}ield {T}heory and
              {P}erturbative {S}tring {T}heory},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {83},
     PAGES = {71--128},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2011},
       DOI = {10.1090/pspum/083/2742426},
       URL = {https://doi.org/10.1090/pspum/083/2742426},
    EPRINT = {1107.0495},
}

@article {dss-balanceddeligne,
    AUTHOR = {Douglas, Christopher L. and Schommer-Pries, Christopher and
              Snyder, Noah},
     TITLE = {The balanced tensor product of module categories},
   JOURNAL = {Kyoto~J. Math.},
  FJOURNAL = {Kyoto Journal of Mathematics},
    VOLUME = {59},
      YEAR = {2019},
    NUMBER = {1},
     PAGES = {167--179},
       DOI = {10.1215/21562261-2018-0006},
       URL = {https://doi.org/10.1215/21562261-2018-0006},
    EPRINT = {1406.4204},
}

@article {dss-dualizable-TCs,
    AUTHOR = {Douglas, Christopher L. and Schommer-Pries, Christopher and
              Snyder, Noah},
     TITLE = {Dualizable tensor categories},
   JOURNAL = {Mem. Amer. Math. Soc.},
  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {268},
      YEAR = {2020},
    NUMBER = {1308},
     PAGES = {vii+88~pages},
       DOI = {10.1090/memo/1308},
       URL = {https://doi.org/10.1090/memo/1308},
    EPRINT = {1312.7188},
}

@book {egno,
    AUTHOR = {Etingof, Pavel and Gelaki, Shlomo and Nikshych, Dmitri and
              Ostrik, Victor},
     TITLE = {Tensor categories},
    SERIES = {Math. Surveys Monogr.},
    VOLUME = {205},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2015},
     PAGES = {xvi+343},
       DOI = {10.1090/surv/205},
       URL = {https://doi.org/10.1090/surv/205},
}

@article {enom,
    AUTHOR = {Etingof, Pavel and Nikshych, Dmitri and Ostrik, Victor},
     TITLE = {Fusion categories and homotopy theory},
   JOURNAL = {Quantum Topol.},
  FJOURNAL = {Quantum Topology},
    VOLUME = {1},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {209--273},
       DOI = {10.4171/QT/6},
       URL = {https://doi.org/10.4171/QT/6},
    EPRINT = {0909.3140},
}

@phdthesis {jf-thesis,
    AUTHOR = {Farnsteiner, J.},
     TITLE = {Towards {T}uraev--{V}iro topological field theories on stratified
 manifolds. Evaluation at vertices and local moves},
      NOTE = {{U}niversit\"at Hamburg, 2023, \url{https://ediss.sub.uni-hamburg.de/handle/ediss/10494}},
}

@article {fpsv,
    AUTHOR = {Fuchs, J\"urgen and Priel, Jan and Schweigert, Christoph and
              Valentino, Alessandro},
     TITLE = {On the {B}rauer groups of symmetries of abelian
              {D}ijkgraaf--{W}itten theories},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {339},
      YEAR = {2015},
    NUMBER = {2},
     PAGES = {385--405},
       DOI = {10.1007/s00220-015-2420-y},
       URL = {https://doi.org/10.1007/s00220-015-2420-y},
    EPRINT = {1404.6646},
}

@article {fss-trace,
    AUTHOR = {Fuchs, J\"urgen and Schaumann, Gregor and Schweigert, Christoph},
     TITLE = {A trace for bimodule categories},
   JOURNAL = {Appl. Categ. Structures},
  FJOURNAL = {Applied Categorical Structures. A Journal Devoted to
              Applications of Categorical Methods in Algebra, Analysis,
              Order, Topology and Computer Science},
    VOLUME = {25},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {227--268},
       DOI = {10.1007/s10485-016-9425-3},
       URL = {https://doi.org/10.1007/s10485-016-9425-3},
    EPRINT = {1412.6968},
}

@article {fss-ew,
    AUTHOR = {Fuchs, J\"urgen and Schaumann, Gregor and Schweigert, Christoph},
     TITLE = {Eilenberg--{W}atts calculus for finite categories and a
              bimodule {R}adford {$S^4$} theorem},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {373},
      YEAR = {2020},
    NUMBER = {1},
     PAGES = {1--40},
       DOI = {10.1090/tran/7838},
       URL = {https://doi.org/10.1090/tran/7838},
    EPRINT = {1612.04561},
}

@article {fss-statesum,
    AUTHOR = {Fuchs, J\"urgen and Schaumann, Gregor and Schweigert, Christoph},
     TITLE = {A modular functor from state sums for finite tensor categories
              and their bimodules},
   JOURNAL = {Theory Appl. Categ.},
  FJOURNAL = {Theory and Applications of Categories},
    VOLUME = {38},
      YEAR = {2022},
    NUMBER = {15},
     PAGES = {436--594},
    EPRINT = {1911.06214},
}

@mics {fsy-stringnets,
    AUTHOR = {Fuchs, J\"urgen and Schweigert, Christoph and Yang, Yang},
     TITLE = {String-net models for pivotal bicategories},
    EPRINT = {2302.01468},
}

@incollection {ks-surfaceops,
    AUTHOR = {Kapustin, Anton and Saulina, Natalia},
     TITLE = {Surface operators in 3d topological field theory and 2d
              rational conformal field theory},
 BOOKTITLE = {Mathematical {F}oundations of {Q}uantum {F}ield {T}heory and
              {P}erturbative {S}tring {T}heory},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {83},
     PAGES = {175--198},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2011},
       DOI = {10.1090/pspum/083/2742429},
       URL = {https://doi.org/10.1090/pspum/083/2742429},
    EPRINT = {1012.0911},
}

@article {kmrs-defect-rt,
    AUTHOR = {Koppen, Vincent and Mulevi\v{c}ius, Vincentas and Runkel, Ingo and
              Schweigert, Christoph},
     TITLE = {Domain walls between 3d phases of {R}eshetikhin--{T}uraev
              {TQFT}s},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {396},
      YEAR = {2022},
    NUMBER = {3},
     PAGES = {1187--1220},
       DOI = {10.1007/s00220-022-04489-5},
       URL = {https://doi.org/10.1007/s00220-022-04489-5},
    EPRINT = {2105.04613},
}

@book {maclane-cats,
    AUTHOR = {MacLane, Saunders},
     TITLE = {Categories for the working mathematician},
    SERIES = {Grad. Texts in Math.},
    VOLUME = {5},
 PUBLISHER = {Springer, New York},
      YEAR = {1971},
     PAGES = {ix+262},
       DOI = {10.1007/978-1-4757-4721-8},
       URL = {https://doi.org/10.1007/978-1-4757-4721-8},
}

@article {meusburger-statesumdefects,
    AUTHOR = {Meusburger, Catherine},
     TITLE = {State sum models with defects based on spherical fusion
              categories},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {429},
      YEAR = {2023},
     PAGES = {109177, 97~pages},
       DOI = {10.1016/j.aim.2023.109177},
       URL = {https://doi.org/10.1016/j.aim.2023.109177},
    EPRINT = {2205.06874},
}

@mics {ms-dbranes-ktheory-tft,
    AUTHOR = {Moore, G. W. and Segal, G.},
     TITLE = {D-branes and K-theory in 2D topological field theory},
    EPRINT = {hep-th/0609042},
}

@incollection {ns-basic,
    AUTHOR = {Ng, Siu-Hung and Schauenburg, Peter},
     TITLE = {Higher {F}robenius--{S}chur indicators for pivotal categories},
 BOOKTITLE = {Hopf {A}lgebras and {G}eneralizations},
    SERIES = {Contemp. Math.},
    VOLUME = {441},
     PAGES = {63--90},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2007},
       DOI = {10.1090/conm/441/08500},
       URL = {https://doi.org/10.1090/conm/441/08500},
    EPRINT = {math.QA/0503167},
}

@phdthesis {schaumann-bimod,
    AUTHOR = {Schaumann, G.},
     TITLE = {Duals in tricategories and in the tricategory of bimodule
 categories},
      NOTE = {{F}riedrich--{A}lexander--{U}niversit\"at {E}rlangen--{N}\"urnberg, 2013},
}

@article {schaumann-modtraces,
    AUTHOR = {Schaumann, G.},
     TITLE = {Traces on module categories over fusion categories},
   JOURNAL = {J.~Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {379},
      YEAR = {2013},
     PAGES = {382--425},
       DOI = {10.1016/j.jalgebra.2013.01.013},
       URL = {https://doi.org/10.1016/j.jalgebra.2013.01.013},
    EPRINT = {1206.5716},
}

@book {tv,
    AUTHOR = {Turaev, Vladimir and Virelizier, Alexis},
     TITLE = {Monoidal categories and topological field theory},
    SERIES = {Progr. Math.},
    VOLUME = {322},
 PUBLISHER = {Birkh\"auser, Cham},
      YEAR = {2017},
     PAGES = {xii+523},
       DOI = {10.1007/978-3-319-49834-8},
       URL = {https://doi.org/10.1007/978-3-319-49834-8},
}
