383 citations · 3.5k across the 90 of their papers we have counts for
4 papers · 2 filters
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…
Orbifolds of Reshetikhin-Turaev TQFTs
Nils Carqueville, Ingo Runkel, Gregor Schaumann
We construct three classes of generalised orbifolds of Reshetikhin-Turaev theory for a modular tensor category , using the language of defect TQFT from [arXiv:1705.060…
Area-dependent quantum field theory with defects
Ingo Runkel, Lóránt Szegedy
Area-dependent quantum field theory is a modification of two-dimensional topological quantum field theory, where one equips each connected component of a bordism with a positive re…
Topological field theory on r-spin surfaces and the Arf invariant
Ingo Runkel, Lóránt Szegedy
We give a combinatorial model for r-spin surfaces with parametrised boundary based on Novak (2015). The r-spin structure is encoded in terms of -valued indices assign…