The Chiral Index of the Fermionic Signature Operator
Mathematical Physics
2017-06-12 v2 Differential Geometry
math.MP
Abstract
We define an index of the fermionic signature operator on even-dimensional globally hyperbolic spin manifolds of finite lifetime. The invariance of the index under homotopies is studied. The definition is generalized to causal fermion systems with a chiral grading. We give examples of space-times and Dirac operators thereon for which our index is non-trivial.
Keywords
Cite
@article{arxiv.1404.6625,
title = {The Chiral Index of the Fermionic Signature Operator},
author = {Felix Finster},
journal= {arXiv preprint arXiv:1404.6625},
year = {2017}
}
Comments
21 pages, LaTeX, 3 figures, minor corrections (published version)