41 citations · 41 across the 6 of their papers we have counts for
5 papers · 1 filter
Deformations of mixed associators in module categories
Matthieu Faitg, Azat M. Gainutdinov, Christoph Schweigert +1
We set up a cochain complex whose cohomology controls deformations of the mixed associator of a module category over a …
The 2-categorical S-matrix of a braided fusion 1-category is a character table
Alea Hofstetter, Christoph Schweigert
The semisimple module categories over a braided fusion category form a connected fusion 2-category . Its Drinfeld center $\mathcal{Z}(\text{M…
A Boundary Characterization of Turaev-Viro TQFTs
Max-Niklas Steffen, Christoph Schweigert
We consider three-dimensional topological field theories on manifolds with boundary defects and identify explicit boundary locality conditions. We show that these conditions imply…
An adjunction theorem for Davydov-Yetter cohomology and infinitesimal braidings
Matthieu Faitg, Azat M. Gainutdinov, Christoph Schweigert
Davydov-Yetter cohomology is associated to a monoidal functor between -linear monoidal categories where $\Bbb…
The Evaluation of Graphs on Surfaces for State-Sum Models with Defects
Julian Farnsteiner, Christoph Schweigert
The evaluation of graphs on 2-spheres is a central ingredient of the Turaev-Viro construction of three-dimensional topological field theories. In this article, we introduce a class…