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math.AG2020
Tamarkin-Tsygan Calculus and Chiral Poisson Cohomology
E. Bouaziz
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 a…
math.AG2020
Poisson Vertex Cohomology and Tate Lie Algebroids
Emile Bouaziz
We study sheaves on holomorphic spaces of loops and apply this to the study of the complex, defined in \cite{BdSHK}, governing deformations of the \emph{Poisson vertex algebra} str…
math.AG2020
Infinite Type D-modules and Higher Depth Mock Modular Forms I
E. Bouaziz
We study natural D-modules on the moduli stack of elliptic curves over a field of characteristic zero. We use this to produce an algebro-geometric version of the algebra of higher…