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- W2257581088 abstract "We give a definition of coisotropic morphisms of shifted Poisson (i.e. $P_n$) algebras which is a derived version of the classical notion of coisotropic submanifolds. Using this we prove that an intersection of coisotropic morphisms of shifted Poisson algebras carries a Poisson structure of shift one less. Using an interpretation of Hamiltonian spaces as coisotropic morphisms we show that the classical BRST complex computing derived Poisson reduction coincides with the complex computing coisotropic intersection. Moreover, this picture admits a quantum version using brace algebras and their modules: the quantum BRST complex is quasi-isomorphic to the complex computing tensor product of brace modules." @default.
- W2257581088 created "2016-06-24" @default.
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- W2257581088 date "2017-12-22" @default.
- W2257581088 modified "2023-10-02" @default.
- W2257581088 title "Poisson reduction as a coisotropic intersection" @default.
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- W2257581088 doi "https://doi.org/10.21136/hs.2017.04" @default.
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