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math.QA2025
Finiteness and holonomicity of skein modules
David Jordan, Iordanis Romaidis
We prove a generalised version of finiteness of skein modules for 3-manifolds by including boundary. We show that internal skein modules are holonomic modules over the internal ske…
math.QA2025
Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology
Diogo Andrade, Julia Bierent, Jennifer Brown +28
These lecture notes are the product of a week-long learning workshop on the work of Johnson-Freyd and Reutter on the problem of the existence of minimal nondegenerate extensions of…
math.QA2021
Mapping class group representations and Morita classes of algebras
Iordanis Romaidis, Ingo Runkel
A modular fusion category C allows one to define projective representations of the mapping class groups of closed surfaces of any genus. We show that if all these representations a…