38 citations · 90 across the 25 of their papers we have counts for
27 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{…
Quantum Hamiltonian Reduction for Polar Representations
G. Bellamy, T. Levasseur, T. Nevins +1
Let be a reductive complex Lie group with Lie algebra and suppose that is a polar -representation. We prove the existence of a radial parts map $\mathrm{r…
Invariant holonomic systems on symmetric spaces and other polar representations
G. Bellamy, T. Nevins, J. T. Stafford
Let be a symmetric space over a connected reductive Lie algebra , with Lie algebra and discriminant . A fundamental object is the invarian…
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…