Index Theory for Globally Hyperbolic Spacetimes
Spectral Theory
2023-03-16 v1 Operator Algebras
Abstract
An equality between the spectral flow of a family of self-adjoint Fredholm operators and the index of the associated differential operator with Atiyah-Patodi-Singer-style boundary conditions is shown. This generalizes a result by C.B\"ar and A. Strohmaier used to show their Lorentzian version of the Atiyah-Patodi-Singer Index Theorem.
Keywords
Cite
@article{arxiv.1910.10452,
title = {Index Theory for Globally Hyperbolic Spacetimes},
author = {Lennart Ronge},
journal= {arXiv preprint arXiv:1910.10452},
year = {2023}
}
Comments
This is the revised version of the author's master thesis, advised by Prof. Matthias Lesch and Dr. Koen van den Dungen at the University of Bonn