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math.DG2019
Connections on central extensions, lifting gerbes, and finite-dimensional obstruction vanishing
Indranil Biswas, Markus Upmeier
Given a central extension of Lie groups, we study the classification problem of lifting the structure group together with a given connection. For reductive structure groups we intr…
math.DG2019
On spin structures and orientations for gauge-theoretic moduli spaces
Dominic Joyce, Markus Upmeier
Let be a compact manifold, a Lie group, a principal -bundle, and the infinite-dimensional moduli space of connections on modulo gauge. For…
math.DG2019
A categorified excision principle for elliptic symbol families
Markus Upmeier
We develop a categorical index calculus for elliptic symbol families. The categorified index problems we consider are a secondary version of the traditional problem of expressing t…