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Holonomic Poisson Manifolds and Deformations of Elliptic Algebras

Holonomic Poisson Manifolds and Deformations of Elliptic Algebras

Abstract This chapter introduces a natural non-degeneracy condition for Poisson structures, called holonomicity, which is closely related to the notion of a log symplectic form. Holonomic Poisson manifolds are privileged by the fact that their deformation spaces are as finite-dimensional as one could ever hope: the corresponding derived deformation complex …