The spectral localizer for semifinite spectral triples
Mathematical Physics
2020-08-06 v2 math.MP
Abstract
The notion of 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.
Keywords
Cite
@article{arxiv.2004.13092,
title = {The spectral localizer for semifinite spectral triples},
author = {Hermann Schulz-Baldes and Tom Stoiber},
journal= {arXiv preprint arXiv:2004.13092},
year = {2020}
}
Comments
numerous improvements taking into account comments by the referees, to appear in Proc. AMS