3 papers
math.KT2025
Homological Lie brackets on moduli spaces and pushforward operations in twisted K-theory
Markus Upmeier
We develop a general theory of pushforward operations for principal -bundles equipped with a certain type of orientation. In the case and orientations in twisted K-the…
math.AT2025
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…
math.AT2025
Bordism categories and orientations of moduli spaces
Dominic Joyce, Markus Upmeier
To define enumerative invariants in geometry, one often needs orientations on moduli spaces of geometric objects. This monograph develops a new bordism-theoretic point of view on o…