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Batalin-Vilkovisky structures and Poincare dualities for smooth Poisson algebras
罗娟博士(上海师范大学)
2018-01-01 12:13  华东师范大学

摘要:For smooth Poisson algebras with trivial canonical bundle, the Poisson cochain complex with values in any Poisson module is isomorphic to the Poisson chain complex with values in the corresponding twisted Poisson module (twisted by the modular derivation). Then a version of twisted Poincare duality is proved between Poisson homologies and Poisson cohomologies. If the Poisson structure is pseudo-unimodular, then its Poisson cohomology as Gerstenhaber algebra is exact, that is, it has a Batalin-Vilkovisky algebra structure.