Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems

dc.creatorNest, Ryszard
dc.creatorTsygan, Boris
dc.date1999-06-02
dc.date.accessioned2026-07-07T05:29:21Z
dc.date.available2026-07-07T05:29:21Z
dc.descriptionRecently Kontsevich solved the classification problem for deformation quantizations of all Poisson structures on a manifold. In this paper we study those Poisson structures for which the explicit methods of Fedosov can be applied, namely the Poisson structures coming from symplectic Lie algebroids, as well as holomorphic symplectic structures. For deformations of these structures we prove the classification theorems and a general a general index theorem.
dc.identifierhttps://arxiv.org/abs/math/9906020
dc.identifierhttp://arxiv.org/abs/math/9906020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78606
dc.subjectQuantum Algebra
dc.titleDeformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems
dc.typetext

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