3 papers
math.GT2024
On Integrality of Non-Semisimple Quantum Representations of Mapping Class Groups
Marco De Renzi, Jules Martel
For a root of unity of odd prime order, we restrict coefficients of non-semisimple quantum representations of mapping class groups associated with the small quantum group $\mat…
math.QA2024
Quantum groups from homologies of configuration spaces
Stephen Bigelow, Jules Martel
We reconstruct a quantum group associated with any Lie algebra together with its representation theory from twisted homologies of generalized configuration spaces of disks. Along t…
math.GT2024
Hennings TQFTs for Cobordisms Decorated With Cohomology Classes
Marco De Renzi, Jules Martel, Bangxin Wang
Starting from an abelian group and a factorizable ribbon Hopf -bialgebra , we construct a TQFT for connected framed cobordisms between connected surfaces with conne…