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Equivalence classes of gapped Hamiltonians compatible with given symmetry constraints, such as those underlying topological insulators, can be defined in many ways.
R. Bott, The stable homotopy of the classical groups, Ann. of Math
1959
Earlier work this paper cites.
M. Karoubi, K {K} -theory: An Introduction
1978
Earlier work this paper cites.
J. E. Avron, R. Seiler, and B. Simon, Quantum Hall effect and the relative index for projections, Phys. Rev. Lett
1990
Earlier work this paper cites.
J. E. Avron, R. Seiler, and B. Simon, Charge deficiency, charge transport and comparison of dimensions, Commun. Math. Phys
1994
Earlier work this paper cites.
L. I. Nicolaescu, Generalized symplectic geometries and the index of families of elliptic problems
1997
Earlier work this paper cites.
B. Blackadar, K {K} -theory for operator algebras
1998
Earlier work this paper cites.
N. Higson and J. Roe, Analytic K {K} -homology
2000
Cited alongside, same era.
J. M. Gracia-Bondía, J. C. Várilly, and H. Figueroa, Elements of noncommutative geometry
2001
Cited alongside, same era.
P. Heinzner, A. Huckleberry, and M. R. Zirnbauer, Symmetry classes of disordered fermions, Commun. Math. Phys
2005
Cited alongside, same era.
E. Park, Complex topological K {K} -theory
2008
Cited alongside, same era.
A. Kitaev, Periodic table for topological insulators and superconductors, in AIP Conf. Ser
2009
Cited alongside, same era.
G. C. Thiang, On the K {K} -theoretic classification of topological phases of matter, math-ph/1406.7366
Cited in the paper.
S. Ryu, A. P. Schnyder, A. Furusaki, and A. W. W. Ludwig, Topological insulators and superconductors: tenfold way and dimensional hierarchy, New J. Phys
2010
Later among the works it cites.
G. Jotzu, M. Messer, R. Desbuquois, M. Lebrat, T. Uehlinger, D. Greif, and T. Esslinger, Experimental realization of the topological Haldane model with ultracold fermions, Nature
2014
Closest in time.
M. Fruchart, D. Carpentier, and K. Gawędzki, Parallel transport and band theory in crystals, Europhysics Letters
2014
Closest in time.
E. Prodan, The Non-Commutative Geometry of the Complex Classes of Topological Insulators, Top. Quant. Matter
2014
Closest in time.
D. S. Freed and G. W. Moore, Twisted equivariant matter, Ann. Henri Poincaré
2023
Closest in time.
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G. de Nittis and K. Gomi, Classification of “Quaternionic” Bloch-bundles: Topological Insulators of type AII, math-ph/1404.5804
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M. R. Zirnbauer and R. Kennedy, Bott periodicity for ℤ 2 \mathbb{Z}_{2} symmetric ground states of gapped free-fermion systems, math-ph/1409.2537
Cited in the paper.
G. de Nittis and K. Gomi, Chiral vector bundles: A geometric model for Class AIII topological quantum systems, math-ph/1504.04863
Cited in the paper.
E. Prodan and H. Schulz-Baldes, Non-commutative odd Chern numbers and topological phases of disordered chiral systems, math-ph/1402.5002
Cited in the paper.