3 citations · 3 across the 3 of their papers we have counts for
6 papers
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 …
Braided categories of bimodules from stated skein TQFTs
Francesco Costantino, Matthieu Faitg
For each braided category we show that, under mild hypotheses, there is an associated category of "half braided algebras" and their bimodules internal to $\mathcal{C}…
Derived representations of quantum character varieties
Matthieu Faitg
Quantum moduli algebras were introduced by Alekseev-Grosse-Schomerus and Buffenoir-Roche in the context of quantization of character varieties…
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…
Mapping class groups, skein algebras and combinatorial quantization
Matthieu Faitg
The algebras have been introduced by Alekseev-Grosse-Schomerus and Buffenoir-Roche in the middle of the 1990's, in the program of combinatorial quantization…
Modular Group Representations in Combinatorial Quantization with Non-Semisimple Hopf Algebras
Matthieu Faitg
Let be a compact oriented surface of genus with open disks removed. The algebra was introduced by Alekseev-Grosse-Schomerus and Buffenoir-R…