88 citations · 338 across the 28 of their papers we have counts for
32 papers
Langlands duality for skein modules of 3-manifolds
David Jordan
I introduce new Langlands duality conjectures concerning skein modules of 3-manifolds, which we have made recently with David Ben-Zvi, Sam Gunningham, and Pavel Safronov. I recount…
Quantum decorated character stacks
David Jordan, Ian Le, Gus Schrader +1
We initiate the study of decorated character stacks and their quantizations using the framework of stratified factorization homology. We thereby extend the construction by Fock and…
Invertible braided tensor categories
Adrien Brochier, David Jordan, Pavel Safronov +1
We prove that a finite braided tensor category A is invertible in the Morita 4-category BrTens of braided tensor categories if, and only if, it is non-degenerate. This includes the…
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…
Quantum Weyl algebras and reflection equation algebras at a root of unity
Nicholas Cooney, Iordan Ganev, David Jordan
We compute the center and Azumaya locus in the simplest non-abelian examples of quantized multiplicative quiver varieties at a root of unity: quantum Weyl algebras of rank , and…
The quantum Frobenius for character varieties and multiplicative quiver varieties
Iordan Ganev, David Jordan, Pavel Safronov
We prove that quantized multiplicative quiver varieties and quantum character varieties define sheaves of Azumaya algebras over the corresponding classical moduli spaces, and we pr…