383 citations · 3.5k across the 90 of their papers we have counts for
40 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…
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…
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…
Reshetikhin-Turaev TQFTs close under generalised orbifolds
Nils Carqueville, Vincentas Mulevicius, Ingo Runkel +2
We specialise the construction of orbifold graph TQFTs introduced in Carqueville et al., arXiv:2101.02482 to Reshetikhin-Turaev defect TQFTs. We explain that the modular fusion cat…
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…