Index pairings in presence of symmetries with applications to topological insulators. (English) Zbl 1348.82083
The authors consider the index pairings of the complex classes which are known for arbitrary even dimensions [E. Prodan et al., J. Phys. A, Math. Theor. 46, No. 48, Article ID 485202, 20 p. (2013; Zbl 1290.82016)] and arbitrary odd dimensions [E. Prodan and H. Schulz-Baldes, J. Funct. Anal. 271, No. 5, 1150–1176 (2016; Zbl 1344.82055)], and to implement the symmetries of the Fermi projection in order to deduce \(Z\)-, \(Z_2\)- and \(2Z\)-valued index pairings. These general results are applied to prove index theorems for the strong invariants of disordered topological insulators.
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
MSC:
| 82D20 | Statistical mechanics of solids |
| 82D30 | Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) |
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