Bordism invariance of orientations and real APS index theory (2312.06818v1)

Published 11 Dec 2023 in math.DG and math.AT

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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Authors (1)

Markus Upmeier

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