\(\mathbb Z_2\) invariants of topological insulators as geometric obstructions

DOI10.1007/s00220-015-2552-0zbMath1346.81158arXiv1408.1030OpenAlexW3121833206MaRDI QIDQ281142

Domenico Fiorenza, Domenico Monaco, Gianluca Panati

Publication date: 10 May 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1030

zbMATH Keywords

topological invariantsobstructionsquantum Hall effect\(\mathbb{Z}_2\) Fu-Kane-Mele indicesBloch-Floquet representationcompleteness of the \(\mathbb{Z}_2\) invariantsgapped periodic quantum systemsinteger-valued topological invariantsK-theory classificationslocal and global Bloch framesspectral eigenprojectors of the gapsymmetric Bloch framestime-reversal symmetric (TRS) topological insulators

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Many-body theory; quantum Hall effect (81V70) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Riemann-Roch theorems, Chern characters (19L10)

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