Bordism invariance of orientations and real APS index theory
Differential Geometry
2023-12-13 v1 Algebraic Topology
Abstract
We show that orientations and Floer gradings for elliptic differential operators can be propagated through bordisms. This is based on a new perspective on APS indices for elliptic boundary value problems over the real numbers. Several applications to moduli spaces of this new bordism-theoretic point of view will be given in the sequel.
Keywords
Cite
@article{arxiv.2312.06818,
title = {Bordism invariance of orientations and real APS index theory},
author = {Markus Upmeier},
journal= {arXiv preprint arXiv:2312.06818},
year = {2023}
}
Comments
34 pages. Comments welcome