Poisson reduction as a coisotropic intersection

Research output: Contribution to journalArticlepeer-review


We give a definition of coisotropic morphisms of shifted Poisson (i.e. Pn) 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.
Original languageEnglish
Number of pages35
JournalHigher Structures
Publication statusAccepted/In press - 29 Nov 2017


Dive into the research topics of 'Poisson reduction as a coisotropic intersection'. Together they form a unique fingerprint.

Cite this