Corpus ID: 119314619

Poisson reduction as a coisotropic intersection

@article{Safronov2015PoissonRA,
  title={Poisson reduction as a coisotropic intersection},
  author={P. Safronov},
  journal={arXiv: Algebraic Geometry},
  year={2015}
}
  • P. Safronov
  • Published 2015
  • Mathematics, Physics
  • arXiv: Algebraic Geometry
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… Expand
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We define and study coisotropic structures on morphisms of commutative dg algebras in the context of shifted Poisson geometry, i.e. $$\mathbb {P}_n$$Pn-algebras. Roughly speaking, a coisotropicExpand
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We extend results about n-shifted coisotropic structures from part I of this work to the setting of derived Artin stacks. We show that an intersection of coisotropic morphisms carries a PoissonExpand
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