D. Joyce

activity

20092026

most citedA 'Darboux Theorem' for shifted symplectic structures on derived Artin stacks, with applications

104 citations · 343 across the 17 of their papers we have counts for

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8 papers · 1 filter

math.DG2026

B-complex manifolds with generalized corners. I. Newlander-Nirenberg Theorems

Hülya Argüz, Dominic Joyce

We generalize complex manifolds to manifolds with corners $X$ , and to manifolds with generalized corners (g-corners) in the sense of the second author arXiv:1501.00401, using compl…

math.DG2025

Stratified manifolds with corners

Dominic Joyce

We define categories of stratified manifolds (s-manifolds) and stratified manifolds with corners (s-manifolds with corners). An s-manifold $X$ of dimension $n$ is a Hausdorff,…

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…

math.DG2018★ 9 cited

Canonical orientations for moduli spaces of $G_{2}$ -instantons with gauge group SU(m) or U(m)

Dominic Joyce, Markus Upmeier

Suppose $(X, g)$ is a compact, spin Riemannian 7-manifold, with Dirac operator $D$ . Let $G$ be SU $(m)$ or U $(m)$ , and $E \to X$ be a rank $m$ complex bundle with $G$ -structure. Writ…

math.DG2018★ 24 cited

On orientations for gauge-theoretic moduli spaces

Dominic Joyce, Yuuji Tanaka, Markus Upmeier

Let $X$ be a compact manifold, $D$ a real elliptic operator on $X$ , $G$ a Lie group, $P \to X$ a principal $G$ -bundle, and $B_{P}$ the infinite-dimensional moduli space of…

math.DG2016★ 8 cited

Conjectures on counting associative 3-folds in $G_{2}$ -manifolds

Dominic Joyce

There is a strong analogy between compact, torsion-free $G_{2}$ -manifolds $(X, φ, * φ)$ and Calabi-Yau 3-folds $(Y, J, g, ω)$ . We can also generalize $(X, φ, * φ)$ to 'tamed almost $G_{2}$ -mani…

math.DG2014★ 36 cited

Conjectures on Bridgeland stability for Fukaya categories of Calabi-Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow

Dominic Joyce

Let $M$ be a Calabi-Yau $m$ -fold, and consider compact, graded Lagrangians $L$ in $M$ . Thomas and Yau math.DG/0104196, math.DG/0104197 conjectured that there should be a notion of…

math.DG2009★ 1 cited

On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds

Dominic Joyce, Yng-Ing Lee, Richard Schoen

Let (M,w) be a compact symplectic 2n-manifold, and g a Riemannian metric on M compatible with w. For instance, g could be Kahler, with Kahler form w. Consider compact Lagrangian su…

B-complex manifolds with generalized corners. I. Newlander-Nirenberg Theorems

Stratified manifolds with corners

On spin structures and orientations for gauge-theoretic moduli spaces

Canonical orientations for moduli spaces of G2​-instantons with gauge group SU(m) or U(m)

On orientations for gauge-theoretic moduli spaces

Conjectures on counting associative 3-folds in G2​-manifolds

Conjectures on Bridgeland stability for Fukaya categories of Calabi-Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow

On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds

Canonical orientations for moduli spaces of $G_{2}$ -instantons with gauge group SU(m) or U(m)

Conjectures on counting associative 3-folds in $G_{2}$ -manifolds