We develop methods for computing cohomology of vertex algebras and apply them in many interesting examples.
Category $\mathcal O$ for vertex algebras of $\mathfrak{osp}_{1|2n}$
Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties
Universal two-parameter $\mathcal{W}_{\infty}$-algebra and vertex algebras of type $\mathcal{W}(2,3,\dots, N)$
![QR code for arXiv:2002.03612 [math.RT]](http://oss.arxitics.com/images/favicon.svg)