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math.GT2025
Rigidity of and quantum representations of mapping class groups at prime levels
Pierre Godfard
We prove the rigidity of Witten-Reshetikhin-Turaev and quantum representations of mapping class groups at all prime levels for closed surfaces of…
math.AG2025
Conformal blocks are quasi-geometric
Pierre Godfard
We prove that the bundles with flat connections on configuration spaces associated to braided fusion categories, as well as the bundles with flat connections on moduli spaces of cu…
math.AG2025
Semisimplicity of conformal blocks
Pierre Godfard
We prove that braid group representations associated to braided fusion categories and mapping class group representations associated to modular fusion categories are always semisim…