2 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 $\ma…
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…