Topological phases in the theory of solid states

DOI10.4213/im9349eMaRDI QIDQ6072023

Unnamed Author, Armen Glebovich Sergeev

Publication date: 29 November 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im9349

zbMATH Keywords

topological phasesgapped Hamiltoniansgeneralized cohomology theories

Mathematics Subject Classification ID

Galois cohomology (12G05) Hamilton's equations (70H05) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Topological methods for optimization problems in solid mechanics (74P15) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Cites Work

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• On mathematical problems in the theory of topological insulators
• Reflection positivity and invertible topological phases
• Symmetry protected topological phases and generalized cohomology
• Minimalist approach to the classification of symmetry protected topological phases
• The classification of symmetry protected topological phases of one-dimensional fermion systems