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math.RT2024
Sheaves of AV-modules on quasi-projective varieties
Yuly Billig, Emile Bouaziz
We study sheaves of modules for the Lie algebra of vector fields with the action of the algebra of functions, compatible via the Leibniz rule. A crucial role in this theory is play…
math.AG2024
Spectral Flow Equivariance for Calabi-Yau Sigma Models
Emile Bouaziz
We write down an explicit operator on the chiral de Rham complex of a Calabi-Yau variety which intertwines the usual module structure with its twist by the spec…
math.AG2024
The chiral critical locus and topological structures
Emile Bouaziz
We study a differential graded VOA associated to the derived critical locus of a function on a smooth oriented -dimensional variety . Informally, this VOA,…