Schulz-Baldes H, Loring T (2017)
Publication Type: Journal article
Publication year: 2017
Book Volume: 22
Pages Range: 1111 - 1140
Odd index pairings of K1-group elements with Fredholm modules are of relevance in index theory, differential geometry and applications such as to topological insulators. For the concrete setting of operators on a Hilbert space over a lattice, it is shown how to calculate the resulting index as the signature of a suitably constructed finite-dimensional matrix, more precisely the finite volume restriction of what we call the spectral localizer. In presence of real symmetries, secondary ℤ2-invariants can be obtained as the sign of the Pfaffian of the spectral localizer. These results reconcile two complementary approaches to invariants of topological insulators.
APA:
Schulz-Baldes, H., & Loring, T. (2017). Finite volume calculation of K-theory invariants. New York Journal of Mathematics, 22, 1111 - 1140.
MLA:
Schulz-Baldes, Hermann, and Terry Loring. "Finite volume calculation of K-theory invariants." New York Journal of Mathematics 22 (2017): 1111 - 1140.
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