Tamarkin-Tsygan Calculus and Chiral Poisson Cohomology
arXiv:2011.06055
Abstract
We construct and study some vertex theoretic invariants associated to Poisson varieties, specialising in the conformal weight case to the familiar package of Poisson homology and cohomology. In order to do this conceptually we sketch a version of the \emph{calculus}, in the sense of \cite{TT}, adapted to the context of vertex algebras. We obtain the standard theorems of Poisson (co)homology in this \emph{chiral} context. This is part of a larger project related to promoting non-commutative geometric structures to chiral versions of such.
12 pages, comments welcome