81 citations · 655 across the 51 of their papers we have counts for
56 papers
Universal structures in -linear enumerative invariant theories
Jacob Gross, Dominic Joyce, Yuuji Tanaka
An enumerative invariant theory in Algebraic Geometry, Differential Geometry, or Representation Theory, is the study of invariants which 'count' -(semi)stable objects with f…
-algebraic geometry with corners
Kelli Francis-Staite, Dominic Joyce
If is a manifold then the set of smooth functions is a -ring, a rich algebraic structure with many operations. -schemes are…
Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi-Yau 4-folds
Yalong Cao, Jacob Gross, Dominic Joyce
This paper concerns orientability of moduli spaces of Spin(7)-instantons on compact 8-manifolds with Spin(7)-structure for the Lie groups SU() and U(), and of moduli spac…
A new construction of compact torsion-free -manifolds by gluing families of Eguchi-Hanson spaces
Dominic Joyce, Spiro Karigiannis
We give a new construction of compact Riemannian 7-manifolds with holonomy . Let be a torsion-free -manifold (which can have holonomy a proper subgroup of ) such…
Manifolds with analytic corners
Dominic Joyce
Manifolds with boundary and with corners form categories . A manifold with corners has two notions of tangent bundle: the tangent…
Kuranishi spaces as a 2-category
Dominic Joyce
This is a survey of the author's paper arXiv:1409.6908 and in-progress book. 'Kuranishi spaces' were introduced in the work of Fukaya, Oh, Ohta and Ono in symplectic geometry (see…