4 papers · 1 filter
Non-semisimple open-closed 3d TFT
Ingo Runkel, Yilong Wang
Given a spherical finite tensor category C, not necessarily semisimple, and a two-sided modified trace on its projective ideal, we define an open-closed three-dimensional topologic…
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…
Excision for Spaces of Admissible Skeins
Ingo Runkel, Christoph Schweigert, Ying Hong Tham
The skein module for a d-dimensional manifold is a vector space spanned by embedded framed graphs decorated by a category A with suitable extra structure depending on the dimension…
Modular functors from non-semisimple 3d TFTs
Aaron Hofer, Ingo Runkel
Given a not necessarily semisimple modular tensor category C, we use the corresponding 3d TFT defined in [arXiv:1912.02063] to explicitly describe a modular functor as a symmetric…