38 citations · 72 across the 16 of their papers we have counts for
17 papers
Lagrangian Skeleta and Koszul Duality on Bionic Symplectic Varieties
Gwyn Bellamy, Christopher Dodd, Kevin McGerty +1
We consider the category of modules over sheaves of Deformation-Quantization (DQ) algebras on bionic symplectic varieties. These spaces are equipped with both an elliptic $\mathbb{…
Counterexamples to hyperkahler Kirwan surjectivity
Kevin McGerty, Thomas Nevins
Suppose that M is a complete hyperkahler manifold with a compact Lie group K acting via hyperkahler isometries and with hyperkahler moment map $(μ_{\mathbb{C}}, μ_{\mathbb{R}}): M\…
Springer theory for symplectic Galois groups
Kevin McGerty, Thomas Nevins
A classical and beautiful story in geometric representation theory is the construction by Springer of an action of the Weyl group on the cohomology of the fibres of the Springer re…
The pure cohomology of multiplicative quiver varieties
Kevin McGerty, Thomas Nevins
To a quiver and choices of nonzero scalars , non-negative integers , and integers labeling each vertex , Crawley-Boevey--Shaw associate a "multiplicative qui…
Kirwan surjectivity for quiver varieties
Kevin McGerty, Thomas Nevins
For algebraic varieties defined by hyperkahler or, more generally, algebraic symplectic reduction, it is a long-standing question whether the "hyperkahler Kirwan map" on cohomology…
Morse decomposition for D-module categories on stacks
Kevin McGerty, Thomas Nevins
Let Y be a smooth algebraic stack exhausted by quotient stacks. Given a Kirwan-Ness stratification of the cotangent stack T^*Y, we establish a recollement package for twisted D-mod…