Hochschild cohomology and deformations of $\mathbb{P}$-functors

Ciaran Meachan, Theo Raedschelders

Given a split $\mathbb{P}$-functor $F:{\mathcal{D}}^b(X)\to {\mathcal{D}}^b(Y)$ between smooth projective varieties, we provide necessary and sufficient conditions, in terms of the Ho…