Topological phases in the theory of solid states
Izvestiya. Mathematics , Tome 87 (2023) no. 5, pp. 1051-1061

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The paper is a survey devoted to the topological phases – one of the actively developing directions in the theory of solid states. An interpretation of topological phases in terms of the generalized cohomology theories and $K$-theory is given.
Keywords: topological phases, gapped Hamiltonians, generalized cohomology theories.
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A. G. Sergeev; E. Teplyakov. Topological phases in the theory of solid states. Izvestiya. Mathematics , Tome 87 (2023) no. 5, pp. 1051-1061. http://geodesic.mathdoc.fr/item/IM2_2023_87_5_a11/