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math.QA2023
Non-semisimple link and manifold invariants for symplectic fermions
Johannes Berger, Azat M. Gainutdinov, Ingo Runkel
We consider the link and three-manifold invariants from arXiv:1912.02063, which are defined in terms of certain non-semisimple finite ribbon categories together with…
math.QA2020
Monadic cointegrals and applications to quasi-Hopf algebras
Johannes Berger, Azat M. Gainutdinov, Ingo Runkel
For a finite tensor category we consider four versions of the central monad, on . Two of them are Hopf monads, and for pi…
math.QA2018
Modified traces for quasi-Hopf algebras
Johannes Berger, Azat M. Gainutdinov, Ingo Runkel
Let H be a finite-dimensional unimodular pivotal quasi-Hopf algebra over a field k, and let H-mod be the pivotal tensor category of finite-dimensional H-modules. We give a bijectio…