@article {abrikosov,
    AUTHOR = {Abrikosov, A. A. and Beneslavskii, S. D.},
     TITLE = {Possible existence of substances intermediate between metals and dielectrics},
   JOURNAL = {JETP},
  FJOURNAL = {Journal of Experimental and Theoretical Physics},
    VOLUME = {32},
    NUMBER = {4},
      YEAR = {1971},
     PAGES = {699--708},
}

  @article {Zirnba,
    AUTHOR = {Altland, A. and Zirnbauer, M. R.},
     TITLE = {Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures},
   JOURNAL = {Phys. Rev.~B},
  FJOURNAL = {Physical Review B},
    VOLUME = {55},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {1142--1161},
       URL = {https://doi.org/10.1103/PhysRevB.55.1142},
}

@article {ArnoldCodim,
    AUTHOR = {Arnold, V. I.},
     TITLE = {Remarks on eigenvalues and eigenvectors of {H}ermitian
              matrices, {B}erry phase, adiabatic connections and quantum
              {H}all effect},
   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {1},
      YEAR = {1995},
    NUMBER = {1},
     PAGES = {1--19},
       URL = {https://doi.org/10.1007/BF01614072},
}

@incollection {MatTrinity,
    AUTHOR = {Arnold, V. I.},
     TITLE = {Symplectization, complexification and mathematical trinities},
 BOOKTITLE = {The {A}rnoldfest ({T}oronto, {ON}, 1997)},
    SERIES = {Fields Inst. Commun.},
    VOLUME = {24},
     PAGES = {23--37},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1999},
}

@incollection {ArnoldFront,
    AUTHOR = {Arnold, V. I.},
     TITLE = {Polymathematics: is mathematics a single science or a set of
              arts?},
 BOOKTITLE = {Mathematics: Frontiers and Perspectives},
     PAGES = {403--416},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2000},
}

@article {Atiyah,
    AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
     TITLE = {Spectral asymmetry and {R}iemannian geometry.~{III}},
   JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
  FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
              Society},
    VOLUME = {79},
      YEAR = {1976},
    NUMBER = {1},
     PAGES = {71--99},
       URL = {https://doi.org/10.1017/S0305004100052105},
}

@article {Avron3,
    AUTHOR = {Avron, J. E. and Sadun, L. and Segert, J. and Simon, B.},
     TITLE = {Chern numbers, quaternions, and {B}erry's phases in {F}ermi
              systems},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {124},
      YEAR = {1989},
    NUMBER = {4},
     PAGES = {595--627},
       URL = {https://doi.org/10.1007/BF01218452},
}

@article {Avron2,
    AUTHOR = {Avron, J. E. and Seiler, R. and Simon, B.},
     TITLE = {Homotopy and quantization in condensed matter physics},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {51},
      YEAR = {1983},
    NUMBER = {1},
     PAGES = {51--53},
       URL = {https://doi.org/10.1103/PhysRevLett.51.51},
}

@book {Bernevig,
    AUTHOR = {Bernevig, B. Andrei},
     TITLE = {Topological insulators and topological superconductors},
 PUBLISHER = {Princeton University Press, Princeton, NJ},
      YEAR = {2013},
     PAGES = {xii+247},
       URL = {https://doi.org/10.1515/9781400846733},
}

@article {Child1,
    AUTHOR = {Child, M. S.},
     TITLE = {Quantum states in a champagne bottle},
   JOURNAL = {J.~Phys.~A: Math. Gen.},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {31},
      YEAR = {1998},
    NUMBER = {2},
     PAGES = {657--670},
       URL = {https://doi.org/10.1088/0305-4470/31/2/022},
}

@article {cooper,
    AUTHOR = {Cooper, Fred and Khare, Avinash and Sukhatme, Uday},
     TITLE = {Supersymmetry and quantum mechanics},
   JOURNAL = {Phys. Rep.},
  FJOURNAL = {Physics Reports. A Review Section of Physics Letters},
    VOLUME = {251},
      YEAR = {1995},
    NUMBER = {5-6},
     PAGES = {267--385},
       URL = {https://doi.org/10.1016/0370-1573(94)00080-M},
    EPRINT = {hep-th/9405029},
}

@article {Dunne2,
    AUTHOR = {Correa, Francisco and Dunne, Gerald V. and Plyushchay, Mikhail S.},
     TITLE = {The {B}ogoliubov--de {G}ennes system, the {AKNS} hierarchy, and
              nonlinear quantum mechanical supersymmetry},
   JOURNAL = {Ann. Physics},
  FJOURNAL = {Annals of Physics},
    VOLUME = {324},
      YEAR = {2009},
    NUMBER = {12},
     PAGES = {2522--2547},
       URL = {https://doi.org/10.1016/j.aop.2009.06.005},
    EPRINT = {0904.2768},
}

@article {CushmanZh,
    AUTHOR = {Cushman, Richard and Zhilinski\'{\i}, Boris},
     TITLE = {Monodromy of a two degrees of freedom {L}iouville integrable
              system with many focus-focus singular points},
   JOURNAL = {J.~Phys.~A: Math. Gen.},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {35},
      YEAR = {2002},
    NUMBER = {28},
     PAGES = {L415--L419},
       URL = {https://doi.org/10.1088/0305-4470/35/28/104},
}

@book {Cushman,
    AUTHOR = {Cushman, Richard H. and Bates, Larry M.},
     TITLE = {Global aspects of classical integrable systems},
 PUBLISHER = {Birkh\"auser Verlag, Basel},
      YEAR = {1997},
     PAGES = {xvi+435},
       URL = {https://doi.org/10.1007/978-3-0348-8891-2},
}

@article {DeNittis,
    AUTHOR = {De Nittis, Giuseppe and Gomi, Kiyonori},
     TITLE = {Classification of ``quaternionic" {B}loch-bundles: topological
              quantum systems of type~{\bf {AII}}},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {339},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {1--55},
       URL = {https://doi.org/10.1007/s00220-015-2390-0},
    EPRINT = {1404.5804},
}

@article {Duist,
    AUTHOR = {Duistermaat, J. J.},
     TITLE = {On global action-angle coordinates},
   JOURNAL = {Comm. Pure Appl. Math.},
  FJOURNAL = {Communications on Pure and Applied Mathematics},
    VOLUME = {33},
      YEAR = {1980},
    NUMBER = {6},
     PAGES = {687--706},
       URL = {https://doi.org/10.1002/cpa.3160330602},
}

@article {DuistrH,
    AUTHOR = {Duistermaat, J. J. and Heckman, G. J.},
     TITLE = {On the variation in the cohomology of the symplectic form of
              the reduced phase space},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {69},
      YEAR = {1982},
    NUMBER = {2},
     PAGES = {259--268},
       URL = {https://doi.org/10.1007/BF01399506},
}

@article {DunneShifman,
    AUTHOR = {Dunne, Gerald V. and Shifman, M.},
     TITLE = {Duality and self-duality (energy reflection symmetry) of
              quasi-exactly solvable periodic potentials},
   JOURNAL = {Ann. Physics},
  FJOURNAL = {Annals of Physics},
    VOLUME = {299},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {143--173},
       URL = {https://doi.org/10.1006/aphy.2002.6272},
    EPRINT = {hep-th/0204224},
}

@article {Dyson,
    AUTHOR = {Dyson, Freeman J.},
     TITLE = {The threefold way. {A}lgebraic structure of symmetry groups
              and ensembles in quantum mechanics},
   JOURNAL = {J.~Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {3},
      YEAR = {1962},
     PAGES = {1199--1215},
       URL = {https://doi.org/10.1063/1.1703863},
}

@book {KEbook,
    AUTHOR = {Efstathiou, Konstantinos},
     TITLE = {Metamorphoses of {H}amiltonian systems with symmetries},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1864},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {2005},
     PAGES = {x+149},
       URL = {https://doi.org/10.1007/b105138},
}

@article {RevModPhys,
    AUTHOR = {Efstathiou, K. and Sadovski\'{\i}, D. A.},
     TITLE = {Normalization and global analysis of perturbations of the hydrogen atom},
   JOURNAL = {Rev. Modern Phys.},
  FJOURNAL = {Reviews of Modern Physics},
    VOLUME = {82},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {2099--2154},
       URL = {https://doi.org/10.1103/RevModPhys.82.2099},
}

@article {Ferer,
    AUTHOR = {Egea, J. and Ferrer, S. and van der Meer, J. C.},
     TITLE = {Bifurcations of the {H}amiltonian fourfold {$1:1$} resonance
              with toroidal symmetry},
   JOURNAL = {J.~Nonlinear Sci.},
  FJOURNAL = {Journal of Nonlinear Science},
    VOLUME = {21},
      YEAR = {2011},
    NUMBER = {6},
     PAGES = {835--874},
       URL = {https://doi.org/10.1007/s00332-011-9102-5},
}

@article {FaurePRL,
    AUTHOR = {Faure, Frederic and Zhilinski\'{\i}, Boris},
     TITLE = {Topological Chern indices in molecular spectra},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {85},
      YEAR = {2000},
    NUMBER = {5},
     PAGES = {960--963},
       URL = {https://doi.org/10.1103/PhysRevLett.85.960},
    EPRINT = {quant-ph/9912091},
}

@mics {OmriGat,
    AUTHOR = {Gat, O. and Robbins, J. M.},
     TITLE = {Topology of time-reversal invariant energy bands with adiabatic structure},
    EPRINT = {1511.08994},
}

@article {GMN,
    AUTHOR = {Grinevich, P. G. and Mironov, A. E. and Novikov, S. P.},
     TITLE = {On the non-relativistic two-dimensional purely magnetic
              supersymmetric {P}auli operator},
   JOURNAL = {Russian Math. Surveys},
  FJOURNAL = {Russian Mathematical Surveys},
    VOLUME = {70},
      YEAR = {2015},
    NUMBER = {2(422)},
     PAGES = {299--329},
       URL = {https://doi.org/10.1070/RM2015v070n02ABEH004948},
    EPRINT = {1101.5678},
}

@article {grinevich,
    AUTHOR = {Grinevich, P. G. and Volovik, G. E.},
     TITLE = {Topology of gap nodes in superfluid $^3\mathrm{He}$: $\pi_4$ homotopy group for $^3\mathrm{He}$-B disclination},
   JOURNAL = {J.~Low Temp. Phys.},
  FJOURNAL = {Journal of Low Temperature Physics},
    VOLUME = {72},
      YEAR = {1988},
    NUMBER = {5-6},
     PAGES = {371--380},
       URL = {https://doi.org/10.1007/BF00682148},
}

@article {Grondin,
    AUTHOR = {Grondin, L. and Sadovski\'{\i}, D. A. and Zhilinski\'{\i}, B. I.},
     TITLE = {Monodromy as topological obstruction to global action-angle variables in systems with coupled angular
                momenta and rearrangement of bands in quantum spectra},
   JOURNAL = {Phys. Rev.~A},
  FJOURNAL = {Physical Review. A. Third Series},
    VOLUME = {65},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {012105, 15~pages},
       URL = {https://doi.org/10.1103/PhysRevA.65.012105},
}

@book {Guillemin,
    AUTHOR = {Guillemin, Victor},
     TITLE = {Moment maps and combinatorial invariants of {H}amiltonian
              {$T^n$}-spaces},
    SERIES = {Progress in Mathematics},
    VOLUME = {122},
 PUBLISHER = {Birkh\"auser Boston, Inc., Boston, MA},
      YEAR = {1994},
     PAGES = {viii+150},
       URL = {https://doi.org/10.1007/978-1-4612-0269-1},
}

@article {Haldane,
    AUTHOR = {Haldane, F. D. M.},
     TITLE = {Model for a quantum {H}all effect without {L}andau levels: condensed--matter realization of the ``parity anomaly''},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {61},
      YEAR = {1988},
    NUMBER = {19},
     PAGES = {2015--2018},
       URL = {https://doi.org/10.1103/PhysRevLett.61.2015},
}

@article {Hansen,
    AUTHOR = {Hansen, M. S. and Faure, F. and Zhilinski\'{\i}, B. I.},
     TITLE = {Fractional monodromy in systems with coupled angular momenta},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {40},
      YEAR = {2007},
    NUMBER = {43},
     PAGES = {13075--13089},
       URL = {https://doi.org/10.1088/1751-8113/40/43/015},
    EPRINT = {quant-ph/0702227},
}

@article {HasanKane,
    AUTHOR = {Hasan, M. Z. and Kane, C. L.},
     TITLE = {\textit{Colloquium}: Topological insulators},
   JOURNAL = {Rev. Modern Phys.},
  FJOURNAL = {Reviews of Modern Physics},
    VOLUME = {82},
      YEAR = {2010},
    NUMBER = {4},
     PAGES = {3045--3067},
       URL = {https://doi.org/10.1103/RevModPhys.82.3045},
    EPRINT = {1002.3895},
}

@article {Herman,
    AUTHOR = {Herman, M. and Campargue, A. and El Idrissi, M. I. and Vander Auwera, J.},
     TITLE = {Vibrational spectroscopic database on acetylene, $\tilde{\rm X}^1\Sigma_g^+$ ($\rm {}^{12}C_2H_2$, $\rm {}^{12}C_2D_2$, and $\rm {}^{13}C_2H_2$)},
   JOURNAL = {J.~Phys. Chem. Ref. Data},
  FJOURNAL = {Journal of Physical and Chemical Reference Data},
    VOLUME = {32},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {921--1361},
       URL = {https://doi.org/10.1063/1.1531651},
}

@article {herring,
    AUTHOR = {Herring, Conyers},
     TITLE = {Accidental degeneracy in the energy bands of crystals},
   JOURNAL = {Phys. Rev.},
    VOLUME = {52},
      YEAR = {1937},
    NUMBER = {4},
     PAGES = {365--373},
       URL = {https://doi.org/10.1103/PhysRev.52.365},
}

@article {LonguetHiggHerzb,
    AUTHOR = {Herzberg, G. and Longuet-Higgins, H. C.},
     TITLE = {Intersection of potential energy surfaces in polyatomic molecules},
   JOURNAL = {Discuss. Faraday Soc.},
  FJOURNAL = {Discussions of the Faraday Society},
    VOLUME = {35},
      YEAR = {1963},
     PAGES = {77--82},
       URL = {https://doi.org/10.1039/DF9633500077},
}

@article {horava,
    AUTHOR = {Ho\v{r}ava, P.},
     TITLE = {Stability of {Fermi} surfaces and $K$ theory},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {95},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {016405, 4~pages},
       URL = {https://doi.org/10.1103/PhysRevLett.95.016405},
    EPRINT = {hep-th/0503006},
}

@article {AnnPhysIZh,
    AUTHOR = {Iwai, T. and Zhilinski\'{\i}, B.},
     TITLE = {Energy bands: {C}hern numbers and symmetry},
   JOURNAL = {Ann. Physics},
  FJOURNAL = {Annals of Physics},
    VOLUME = {326},
      YEAR = {2011},
    NUMBER = {12},
     PAGES = {3013--3066},
       URL = {https://doi.org/10.1016/j.aop.2011.07.002},
}

@article {IwaiZhWallCross,
    AUTHOR = {Iwai, T. and Zhilinski\'{\i}, B.},
     TITLE = {Qualitative features of the rearrangement of molecular energy
              spectra from a ``wall-crossing'' perspective},
   JOURNAL = {Phys. Lett.~A},
  FJOURNAL = {Physics Letters. A},
    VOLUME = {377},
      YEAR = {2013},
    NUMBER = {38},
     PAGES = {2481--2486},
       URL = {https://doi.org/10.1016/j.physleta.2013.07.043},
    EPRINT = {1307.7277},
}

@article {IwaiZhTheorChemAcc,
    AUTHOR = {Iwai, T. and Zhilinski\'{\i}, B.},
     TITLE = {Topological phase transitions in the vibration-rotation dynamics of an isolated molecule},
   JOURNAL = {Theor. Chem. Acc.},
  FJOURNAL = {Theoretical Chemistry Accounts},
    VOLUME = {133},
      YEAR = {2014},
    NUMBER = {7},
     PAGES = {1501, 13~pages},
       URL = {https://doi.org/10.1007/s00214-014-1501-x},
}

@article {I_Z,
    AUTHOR = {Iwai, T. and Zhilinski\'{\i}, B.},
     TITLE = {Chern number modification in crossing the boundary between
              different band structures: three-band models with cubic
              symmetry},
   JOURNAL = {Rev. Math. Phys.},
  FJOURNAL = {Reviews in Mathematical Physics. A Journal for Both Review and
              Original Research Papers in the Field of Mathematical Physics},
    VOLUME = {29},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {1750004, 91~pages},
       URL = {https://doi.org/10.1142/S0129055X17500040},
}

@article {Kitaev,
    AUTHOR = {Kitaev, A.},
     TITLE = {Periodic table for topological insulators and superconductors},
   JOURNAL = {AIP Conf. Proc.},
  FJOURNAL = {AIP Conference Proceedings},
    VOLUME = {1134},
      YEAR = {2009},
     PAGES = {22--30},
       URL = {https://doi.org/10.1063/1.3149495},
    EPRINT = {0901.2686},
}

@article {Lifshitz,
    AUTHOR = {Lifshitz, I. M.},
     TITLE = {Anomalies of electron characteristics of a metal in the high pressure},
   JOURNAL = {JETP},
  FJOURNAL = {Journal of Experimental and Theoretical Physics},
    VOLUME = {11},
      YEAR = {1960},
     PAGES = {1130--1135},
}

@article {MichelPhysRep,
    AUTHOR = {Michel, L. and Zhilinski\'{\i}, B. I.},
     TITLE = {Symmetry, invariants, topology. {B}asic tools},
   JOURNAL = {Phys. Rep.},
  FJOURNAL = {Physics Reports. A Review Section of Physics Letters},
    VOLUME = {341},
      YEAR = {2001},
    NUMBER = {1-6},
     PAGES = {11--84},
       URL = {https://doi.org/10.1016/S0370-1573(00)00088-0},
}

@article {Matveev,
    AUTHOR = {Matveev, V. S.},
     TITLE = {Integrable {H}amiltonian systems with two degrees of freedom.
              {T}opological structure of saturated neighborhoods of points
              of focus-focus and saddle-saddle types},
   JOURNAL = {Sb. Math.},
  FJOURNAL = {Sbornik: Mathematics},
    VOLUME = {187},
      YEAR = {1996},
    NUMBER = {4},
     PAGES = {495--524},
       URL = {https://doi.org/10.1070/SM1996v187n04ABEH000122},
}

@book {Nakahara,
    AUTHOR = {Nakahara, Mikio},
     TITLE = {Geometry, topology and physics},
    SERIES = {Graduate Student Series in Physics},
 PUBLISHER = {Adam Hilger, Ltd., Bristol},
      YEAR = {1990},
     PAGES = {xiv+505},
}

@article {Nekhoroshev,
    AUTHOR = {Nekhoroshev, Nikola\'{\i}  N. and Sadovski\'{\i}, Dmitri\'{\i}  A. and
              Zhilinski\'{\i}, Boris I.},
     TITLE = {Fractional {H}amiltonian monodromy},
   JOURNAL = {Ann. Henri Poincar\'e},
  FJOURNAL = {Annales Henri Poincar\'e. A Journal of Theoretical and
              Mathematical Physics},
    VOLUME = {7},
      YEAR = {2006},
    NUMBER = {6},
     PAGES = {1099--1211},
       URL = {https://doi.org/10.1007/s00023-006-0278-4},
}

@article {nielsenI,
    AUTHOR = {Nielsen, H. B. and Ninomiya, M.},
     TITLE = {Absence of neutrinos on a lattice. {I}.~{P}roof by homotopy
              theory},
   JOURNAL = {Nuclear Phys.~B},
  FJOURNAL = {Nuclear Physics. B},
    VOLUME = {185},
      YEAR = {1981},
    NUMBER = {1},
     PAGES = {20--40},
       URL = {https://doi.org/10.1016/0550-3213(81)90361-8},
}

@article {nielsenII,
    AUTHOR = {Nielsen, H. B. and Ninomiya, M.},
     TITLE = {Absence of neutrinos on a lattice. {II}.~{I}ntuitive
              topological proof},
   JOURNAL = {Nuclear Phys.~B},
  FJOURNAL = {Nuclear Physics. B},
    VOLUME = {193},
      YEAR = {1981},
    NUMBER = {1},
     PAGES = {173--194},
       URL = {https://doi.org/10.1016/0550-3213(81)90524-1},
}

@article {nielsen,
    AUTHOR = {Nielsen, H. B. and Ninomiya, Masao},
     TITLE = {The {A}dler--{B}ell--{J}ackiw anomaly and {W}eyl fermions in a
              crystal},
   JOURNAL = {Phys. Lett.~B},
  FJOURNAL = {Physics Letters. B. Particle Physics, Nuclear Physics and
              Cosmology},
    VOLUME = {130},
      YEAR = {1983},
    NUMBER = {6},
     PAGES = {389--396},
       URL = {https://doi.org/10.1016/0370-2693(83)91529-0},
}

@article {novikov,
    AUTHOR = {Novikov, S. P.},
     TITLE = {Magnetic {B}loch functions and vector bundles. {T}ypical dispersion laws and their quantum numbers},
   JOURNAL = {Soviet Math. Dokl.},
  FJOURNAL = {Soviet Math. Dokl.},
    VOLUME = {23},
      YEAR = {1981},
     PAGES = {298--303},
}

@article {EurophysL,
    AUTHOR = {Pavlov-Verevkin, V. B. and Sadovski\'{\i}, D. and Zhilinski\'{\i}, B. I.},
     TITLE = {On the dynamical meaning of the diabolic points},
   JOURNAL = {Europhys. Lett.},
  FJOURNAL = {Europhysics Letters},
    VOLUME = {6},
      YEAR = {1988},
    NUMBER = {7},
     PAGES = {573--578},
       URL = {https://doi.org/10.1209/0295-5075/6/7/001},
}

@article {Iachello,
    AUTHOR = {P\'erez-Bernal, F. and Iachello, F.},
     TITLE = {Algebraic approach to two-dimensional systems: shape phase
              transitions, monodromy, and thermodynamic quantities},
   JOURNAL = {Phys. Rev.~A},
  FJOURNAL = {Physical Review. A. Third Series},
    VOLUME = {77},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {032115, 21~pages},
       URL = {https://doi.org/10.1103/PhysRevA.77.032115},
}

@article {Ryu10,
    AUTHOR = {Ryu, S. and Schnyder, A. P. and Furusaki, A. and Ludwig, A. W. W.},
     TITLE = {Topological insulators and superconductors: tenfold way and dimensional hierarchy},
   JOURNAL = {New~J. Phys.},
  FJOURNAL = {New Journal of Physics},
    VOLUME = {12},
      YEAR = {2010},
    NUMBER = {6},
     PAGES = {065010, 60~pages},
       URL = {https://doi.org/10.1088/1367-2630/12/6/065010},
    EPRINT = {0912.2157},
}

@article {PhysLettMono,
    AUTHOR = {Sadovski\'{\i}, D. A. and Zhilinski\'{\i}, B. I.},
     TITLE = {Monodromy, diabolic points, and angular momentum coupling},
   JOURNAL = {Phys. Lett.~A},
  FJOURNAL = {Physics Letters. A},
    VOLUME = {256},
      YEAR = {1999},
    NUMBER = {4},
     PAGES = {235--244},
       URL = {https://doi.org/10.1016/S0375-9601(99)00229-7},
}

@article {Ryu08,
    AUTHOR = {Schnyder, A. P. and Ryu, S. and Furusaki, A. and Ludwig, A. W. W.},
     TITLE = {Classification of topological insulators and superconductors in three spatial dimensions},
   JOURNAL = {Phys. Rev.~B},
  FJOURNAL = {Physical Review B},
    VOLUME = {78},
      YEAR = {2008},
    NUMBER = {19},
     PAGES = {195125, 22~pages},
       URL = {https://doi.org/10.1103/PhysRevB.78.195125},
    EPRINT = {0803.2786},
}

@incollection {schwinger,
    AUTHOR = {Schwinger, J.},
     TITLE = {On angular momentum},
 BOOKTITLE = {Quantum Theory of Angular Momentum},
    EDITOR = {Biedenharn, L. C. and van Dam, H.},
     PAGES = {229--279},
 PUBLISHER = {Academic Press, New York},
      YEAR = {1965},
}

@article {simon,
    AUTHOR = {Simon, Barry},
     TITLE = {Holonomy, the quantum adiabatic theorem, and {B}erry's phase},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {51},
      YEAR = {1983},
    NUMBER = {24},
     PAGES = {2167--2170},
       URL = {https://doi.org/10.1103/PhysRevLett.51.2167},
}

@article {Stransky,
    AUTHOR = {Str\'ansk\'y, P. and Macek, M. and Cejnar, P.},
     TITLE = {Excited-state quantum phase transitions in systems with two degrees of freedom: level density, level dynamics, thermal properties},
   JOURNAL = {Ann. Physics},
  FJOURNAL = {Annals of Physics},
    VOLUME = {345},
      YEAR = {2014},
     PAGES = {73--97},
       URL = {https://doi.org/10.1016/j.aop.2014.03.006},
}

@article {Thouless,
    AUTHOR = {Thouless, D. and Kohmoto, M. and Nightingale, M. P. and den Nijs, M.},
     TITLE = {Quantized {H}all conductance in a two-dimensional periodic potential},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {49},
      YEAR = {1982},
    NUMBER = {6},
     PAGES = {405--408},
       URL = {https://doi.org/10.1103/PhysRevLett.49.405},
}

@article {Kellman,
    AUTHOR = {Tyng, V. and Kellman, M. E.},
     TITLE = {Critical points bifurcation analysis of high-$l$ bending dynamics in acetylene},
   JOURNAL = {J.~Chem. Phys.},
  FJOURNAL = {The Journal of Chemical Physics},
    VOLUME = {131},
      YEAR = {2009},
    NUMBER = {24},
     PAGES = {244111, 11~pages},
       URL = {https://doi.org/10.1063/1.3264686},
}

@article {Ngoc,
    AUTHOR = {V\~u Ng\d{o}c, San},
     TITLE = {Moment polytopes for symplectic manifolds with monodromy},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {208},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {909--934},
       URL = {https://doi.org/10.1016/j.aim.2006.04.004},
    EPRINT = {math.SG/0504165},
}

@book {Volovik,
    AUTHOR = {Volovik, Grigory E.},
     TITLE = {The universe in a helium droplet},
    SERIES = {International Series of Monographs on Physics},
    VOLUME = {117},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {2003},
     PAGES = {xx+509},
}

@article {Neumann,
    AUTHOR = {von Neumann, J. and Wigner, E. P.},
     TITLE = {\"Uber das Verhalten von Eigenwerten bei adiabatischen Prozessen},
   JOURNAL = {Phys.~Z.},
  FJOURNAL = {Physikalische Zeitschrift},
    VOLUME = {30},
      YEAR = {1929},
     PAGES = {467--470},
}

@book {WignerBook,
    AUTHOR = {Wigner, Eugene P.},
     TITLE = {Group theory and its application to the quantum mechanics of
              atomic spectra},
    SERIES = {Pure and Applied Physics},
    VOLUME = {5},
 PUBLISHER = {Academic Press, New York~-- London},
      YEAR = {1959},
     PAGES = {xi+372},
}

@book {wilczek,
    EDITOR = {Shapere, Alfred and Wilczek, Frank},
     TITLE = {Geometric phases in physics},
    SERIES = {Advanced Series in Mathematical Physics},
    VOLUME = {5},
 PUBLISHER = {World Scientific Publishing Co., Inc., Teaneck, NJ},
      YEAR = {1989},
     PAGES = {xvi+509},
       URL = {https://doi.org/10.1142/0613},
}

@article {pseudospin,
    AUTHOR = {Winkler, R. and Z\"ulicke, U.},
     TITLE = {Time reversal of pseudo-spin {$1/2$} degrees of freedom},
   JOURNAL = {Phys. Lett.~A},
  FJOURNAL = {Physics Letters. A},
    VOLUME = {374},
      YEAR = {2010},
    NUMBER = {39},
     PAGES = {4003--4006},
       URL = {https://doi.org/10.1016/j.physleta.2010.08.008},
    EPRINT = {0909.2169},
}

@article {Winnewisser,
    AUTHOR = {Winnewisser, Brenda P. and Winnewisser, Manfred and Medvedev, Ivan R. and Behnke, Markus and De Lucia, Frank C. and Ross, Stephen C. and Koput, Jacek},
     TITLE = {Experimental confirmation of quantum monodromy: the millimeter wave spectrum of cyanogen isothiocyanate {NCNCS}},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {95},
      YEAR = {2005},
    NUMBER = {24},
     PAGES = {243002, 4~pages},
       URL = {https://doi.org/10.1103/PhysRevLett.95.243002},
}

@article {Yarkony,
    AUTHOR = {Yarkony, David R.},
     TITLE = {Diabolical conical intersections},
   JOURNAL = {Rev. Modern Phys.},
  FJOURNAL = {Reviews of Modern Physics},
    VOLUME = {68},
      YEAR = {1996},
    NUMBER = {4},
     PAGES = {985--1013},
       URL = {https://doi.org/10.1103/RevModPhys.68.985},
}

@article {zhang,
    AUTHOR = {Zhang, C. L. and Xu, S. Y. and Belopolski, I. and Yuan, Z. and Lin, Z. and Tong, B. and Bian, G. and Alidoust, N. and Lee, C. C. and
    Huang, S. M. and Chang, T. R. and Chang, G. and Hsu, C. H. and Jeng, H. T. and Neupane, M. and Sanchez, D. S. and Zheng, H. and Wang, J. and Lin, H. and
    Zhang, C. and Lu, H. Z. and Shen, S. Q. and Neupert, T. and Hasan, M. Z. and Jia, S.},
     TITLE = {Signatures of the {A}dler--{B}ell--{J}ackiw chiral anomaly in a {W}eyl fermion semimetal},
   JOURNAL = {Nat. Commun.},
  FJOURNAL = {Nature Communications},
    VOLUME = {7},
      YEAR = {2016},
     PAGES = {10735, 9~pages},
       URL = {https://doi.org/10.1038/ncomms10735},
    EPRINT = {1601.04208},
}

@article {BIZPhysRep,
    AUTHOR = {Zhilinski\'{\i}, B.},
     TITLE = {Symmetry, invariants, and topology in molecular models},
   JOURNAL = {Phys. Rep.},
  FJOURNAL = {Physics Reports. A Review Section of Physics Letters},
    VOLUME = {341},
      YEAR = {2001},
    NUMBER = {1-6},
     PAGES = {85--171},
       URL = {https://doi.org/10.1016/S0370-1573(00)00089-2},
}

@incollection {TopSolSt,
    AUTHOR = {Zhilinski\'{\i}, B.},
     TITLE = {Hamiltonian monodromy as lattice defect},
 BOOKTITLE = {Topology in Condensed Matter},
    SERIES = {Springer Series in Solid-State Sciences},
    VOLUME = {150},
     PAGES = {165--186},
 PUBLISHER = {Springer, Berlin~-- Heidelberg},
      YEAR = {2006},
       URL = {https://doi.org/10.1007/3-540-31264-1_8},
    EPRINT = {quant-ph/0303181},
}
