The spectral localizer for semifinite spectral triples

Schulz-Baldes H, Stoiber T (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Proceedings of the American Mathematical Society American Mathematical Society

Book Volume: 149

Pages Range: 121-134

Journal Issue: 1

DOI: 10.1090/proc/15230

Abstract

The notion of a spectral localizer is extended to pairings with semifinite spectral triples. By a spectral flow argument, any semifinite index pairing is shown to be equal to the signature of the spectral localizer. As an application, a formula for the weak invariants of topological insulators is derived. This provides a new approach to their numerical evaluation.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik) Tom Stoiber Professur für Mathematik (Mathematische Physik)

How to cite

APA:

Schulz-Baldes, H., & Stoiber, T. (2021). The spectral localizer for semifinite spectral triples. Proceedings of the American Mathematical Society, 149(1), 121-134. https://dx.doi.org/10.1090/proc/15230

MLA:

Schulz-Baldes, Hermann, and Tom Stoiber. "The spectral localizer for semifinite spectral triples." Proceedings of the American Mathematical Society 149.1 (2021): 121-134.

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