Callias-type operators associated to spectral triples
Mathematical Physics
2022-03-30 v2 K-Theory and Homology
math.MP
Abstract
Callias-type (or Dirac-Schr\"odinger) operators associated to abstract semifinite spectral triples are introduced and their indices are computed in terms of an associated index pairing derived from the spectral triple. The result is then interpreted as an index theorem for a non-commutative analogue of spectral flow. Both even and odd spectral triples are considered, and both commutative and non-commutative examples are given.
Cite
@article{arxiv.2108.06368,
title = {Callias-type operators associated to spectral triples},
author = {Hermann Schulz-Baldes and Tom Stoiber},
journal= {arXiv preprint arXiv:2108.06368},
year = {2022}
}
Comments
numerous minor corrections, to appear in J. Noncommutative Geometry