An adjunction theorem for Davydov-Yetter cohomology and infinitesimal braidings

Matthieu Faitg, Azat M. Gainutdinov, Christoph Schweigert

Davydov-Yetter cohomology $H_{\mathrm{DY}}^{\bullet }(F)$ is associated to a monoidal functor $F:\mathcal{C}\to \mathcal{D}$ between $\mathbb{k}$-linear monoidal categories where $\Bbb…