24 citations · 46 across the 15 of their papers we have counts for
20 papers
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…
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…
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…
Vertex F-algebra structures on the complex oriented homology of H-spaces
Jacob Gross, Markus Upmeier
We give a topological construction of graded vertex F-algebras that generalizes Joyce's vertex algebra to complex-oriented homology. Given an H-space X with a BU(1)-action, a certa…
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…
Orientation data for moduli spaces of coherent sheaves over Calabi-Yau 3-folds
Dominic Joyce, Markus Upmeier
Let be a compact Calabi-Yau 3-fold, and write for the moduli stacks of objects in cohcoh. There are natural line bundles $K_{\mathca…