Bordism invariance of orientations and real APS index theory

Markus Upmeier

doi:10.48550/arXiv.2312.06818

Bordism invariance of orientations and real APS index theory

Markus Upmeier

Mathematical Science

Research output: Working paper › Preprint

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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.

Original language	English
Publisher	ArXiv
Number of pages	34
DOIs	https://doi.org/10.48550/arXiv.2312.06818
Publication status	Published - 11 Dec 2023

Bibliographical note

The author thanks Dominic Joyce for many discussions

Funding

This research was partly funded by a Simons Collaboration Grant on ‘Special Holonomy in Geometry, Analysis and Physics’.

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10.48550/arXiv.2312.06818Licence: CC BY

bioFinal published version, 1.04 MBLicence: CC BY

Cite this

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Bordism invariance of orientations and real APS index theory

Abstract

Bibliographical note

Funding

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Cite this