Spectral flow argument localizing an odd index pairing

Loring T, Schulz-Baldes H (2019)

Publication Language: English

Publication Type: Journal article

Publication year: 2019

Journal

Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques University of Toronto Press

Book Volume: 62

Pages Range: 373 - 381

Journal Issue: 2

DOI: 10.4153/CMB-2018-013-x

Abstract

An odd Fredholm module for a given invertible operator on a Hilbert space is specified by an unbounded so-called Dirac operator with compact resolvent and bounded commutator with the given invertible. Associated to this is an index pairing in terms of a Fredholm operator with Noether index. Here it is shown by a spectral flow argument how this index can be calculated as the signature of a finite dimensional matrix called the spectral localizer.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

University of New Mexico (UNM) / Universidad de Nuevo México US United States (USA) (US)

How to cite

APA:

Loring, T., & Schulz-Baldes, H. (2019). Spectral flow argument localizing an odd index pairing. Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques, 62(2), 373 - 381. https://dx.doi.org/10.4153/CMB-2018-013-x

MLA:

Loring, Terry, and Hermann Schulz-Baldes. "Spectral flow argument localizing an odd index pairing." Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 62.2 (2019): 373 - 381.

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