D. Joyce

activity

20192021

most citedEnumerative invariants and wall-crossing formulae in abelian categories

5 citations · 5 across the 1 of their papers we have counts for

collaborators

3 papers

math.AG2021★ 5 cited

Enumerative invariants and wall-crossing formulae in abelian categories

Dominic Joyce

Enumerative invariants in Algebraic Geometry 'count' $τ$ -(semi)stable objects $E$ with fixed topological invariants $[E] = a$ in some geometric problem, using a virtual class $[{\cal…

math.AG2020

Orientation data for moduli spaces of coherent sheaves over Calabi-Yau 3-folds

Dominic Joyce, Markus Upmeier

Let $X$ be a compact Calabi-Yau 3-fold, and write $M, M ˉ$ for the moduli stacks of objects in coh $(X), D^{b}$ coh $(X)$ . There are natural line bundles $K_{\mathca…

math.DG2019

On spin structures and orientations for gauge-theoretic moduli spaces

Dominic Joyce, Markus Upmeier

Let $X$ be a compact manifold, $G$ a Lie group, $P \to X$ a principal $G$ -bundle, and $B_{P}$ the infinite-dimensional moduli space of connections on $P$ modulo gauge. For…