Article contents
Spectral Flow Argument Localizing an Odd Index Pairing
Published online by Cambridge University Press: 07 January 2019
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 with 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.
MSC classification
- Type
- Article
- Information
- Copyright
- © Canadian Mathematical Society 2018
Footnotes
The authors thank the Simons Foundation (CGM 419432), the NSF (DMS 1700102), and the DFG (SCHU 1358/3-4) for financial support.
References
- 6
- Cited by