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

collaborators

Showing 2015Show all

3 papers · 1 filter

math.AT2015★ 4 cited

Some new homology and cohomology theories of manifolds and orbifolds

Dominic Joyce

For each manifold or effective orbifold $Y$ and commutative ring $R$ , we define a new homology theory $M H_{*} (Y; R)$ , $M$ - $h o m o l o g y$ , and a new cohomology theory $M H^{*} (Y; R)$ , $M$ -$coh…

math.AG2015★ 7 cited

A Lagrangian Neighbourhood Theorem for shifted symplectic derived schemes

Dominic Joyce, Pavel Safronov

Pantev, Toen, Vaquié and Vezzosi arXiv:1111.3209 defined $k$ -shifted symplectic derived schemes and stacks $X$ for $k \in Z$ , and Lagrangians ${\bf f}:{\bf L}\to{\bf X}…

math.AG2015★ 54 cited

Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds

Dennis Borisov, Dominic Joyce

Let $(X, ω_{X}^{*})$ be a separated, $- 2$ -shifted symplectic derived $C$ -scheme, in the sense of Pantev, Toen, Vezzosi and Vaquie arXiv:1111.3209, of complex virtual…