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- W2781058879 abstract "We introduce Kahler-Poisson algebras as analogues of algebras of smooth functions on Kahler manifolds, and prove that they share several properties with their classical counterparts on an algebraic level. For instance, the module of inner derivations of a Kahler-Poisson algebra is a finitely generated projective module, and allows for a unique metric and torsion-free connection whose curvature enjoys all the classical symmetries. Moreover, starting from a large class of Poisson algebras, we show that every algebra has an associated Kahler-Poisson algebra constructed as a localization. At the end, detailed examples are provided in order to illustrate the novel concepts." @default.
- W2781058879 created "2018-01-05" @default.
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- W2781058879 date "2017-12-22" @default.
- W2781058879 modified "2023-09-27" @default.
- W2781058879 title "Kahler-Poisson algebras" @default.
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