Topological phases: Isomorphism, homotopy and K-theory

DOI10.1142/S021988781550098XzbMath1332.82086arXiv1412.4191MaRDI QIDQ3453273

Guo Chuan Thiang

Publication date: 20 November 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4191

zbMATH Keywords

\(K\)-theory\(C^*\)-algebrashomotopy theorytopological phases

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of solids (82D20) Miscellaneous applications of (K)-theory (19M05)

Related Items (7)

On the \(K\)-theoretic classification of topological phases of matter ⋮ T-duality simplifies bulk-boundary correspondence ⋮ Anyonic topological order in twisted equivariant differential (TED) K-theory ⋮ Topological edge states of 1D chains and index theory ⋮ Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices ⋮ T-duality simplifies bulk-boundary correspondence: some higher dimensional cases ⋮ A non-commutative framework for topological insulators

Cites Work

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• Twisted equivariant matter
• \(K\)-theory. An introduction. With a new postface by the author and a list of errata
• Charge deficiency, charge transport and comparison of dimensions
• The stable homotopy of the classical groups
• Symmetry classes of disordered fermions
• Generalized symplectic geometries and the index of families of elliptic problems

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