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math.DG2023
Bordism invariance of orientations and real APS index theory
Markus Upmeier
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…
math.AT2023
Bordism categories and orientations of gauge theory moduli spaces
Dominic Joyce, Markus Upmeier
This is the second paper of a series that develops a bordism-theoretic point of view on orientations in enumerative geometry. The first paper is arXiv:2312.06818. This paper focuse…