49 citations · 267 across the 21 of their papers we have counts for
4 papers · 1 filter
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…
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…
A categorical approach to quantum moment maps
Pavel Safronov
We introduce quantum versions of Manin pairs and Manin triples and define quantum moment maps in this context. This provides a framework that incorporates quantum moment maps for a…