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arXiv · 2312.06818

Bordism invariance of orientations and real APS index theory

Markus Upmeier
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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.

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Markus Upmeier. 2023-12-11. Bordism invariance of orientations and real APS index theory. https://arxiv.org/abs/2312.06818

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