32 citations · 102 across the 10 of their papers we have counts for
12 papers
Skeins on tori
Sam Gunningham, David Jordan, Monica Vazirani
We analyze the -skein theory invariants of the 3-torus and the two-torus , for the groups and for generic quantum parameter. We obtain formulas for t…
Deformation quantization and perverse sheaves
Sam Gunningham, Pavel Safronov
Kashiwara, Polesello, Schapira and D'Agnolo defined canonical deformation quantizations of a holomorphic symplectic manifold and a holomorphic Lagrangian submanifold equipped with…
Quantum Character Theory
Sam Gunningham, David Jordan, Monica Vazirani
We develop a -analogue of the theory of conjugation equivariant -modules on a complex reductive group . In particular, we define quantum Hotta-Kashiwara…
The Jordan--Chevalley decomposition for -bundles on elliptic curves
Dragoş Frăţilă, Sam Gunningham, Penghui Li
We study the moduli stack of degree semistable -bundles on an irreducible curve of arithmetic genus , where is a connected reductive group. Our main result descri…
The finiteness conjecture for skein modules
Sam Gunningham, David Jordan, Pavel Safronov
We give a new, algebraically computable formula for skein modules of closed 3-manifolds via Heegaard splittings. As an application, we prove that skein modules of closed 3-manifold…
The Arf-Brown TQFT of Pin Surfaces
Arun Debray, Sam Gunningham
The Arf-Brown invariant is an 8th root of unity associated to a surface equipped with a pin structure. In this note we investigate a certain fully extended…
Symmetries of categorical representations and the quantum Ngô action
David Ben-Zvi, Sam Gunningham
We observe that all classical Hamiltonian systems coming from the invariant polynomials on a reductive Lie algebra g can be integrated in a universal way. This is a consequence of…
The Character Field Theory and Homology of Character Varieties
David Ben-Zvi, Sam Gunningham, David Nadler
We construct an extended oriented -dimensional topological field theory, the character field theory attached to a affine algebraic group in characteristic zero, which…
A Derived Decomposition for Equivariant -modules
Sam Gunningham
We show that the adjoint equivariant derived category of -modules on a reductive Lie algebra carries an orthogonal decomposition in to blocks indexed by cuspidal…
Highest Weights for Categorical Representations
David Ben-Zvi, Sam Gunningham, Hendrik Orem
We present a criterion for establishing Morita equivalence of monoidal categories, and apply it to the categorical representation theory of reductive groups . We show that the "…
Generalized Springer Theory for D-modules on a Reductive Lie Algebra
Sam Gunningham
Given a reductive group , we give a description of the abelian category of -equivariant -modules on , which specializes to Lusztig's generali…
Spin Hurwitz numbers and topological quantum field theory
Sam Gunningham
Spin Hurwitz numbers count ramified covers of a spin surface, weighted by the size of their automorphism group (like ordinary Hurwitz numbers), but signed according to the…