The Derived Marsden-Weinstein Quotient is Symplectic

Jeremy Pecharich

The Derived Marsden-Weinstein Quotient is Symplectic

Algebraic Geometry 2012-05-31 v1 Representation Theory Symplectic Geometry

Authors: Jeremy Pecharich

Abstract

Let $(X,\omega_X)$ be a derived scheme with a 0-symplectic form and suppose there is a Hamiltonian $G$ -action with a moment map for $G$ a reductive group. We prove, under no further assumptions, that symplectic reduction along any coadjoint orbit in the category of derived Artin stacks has a 0-symplectic form.

Keywords

derived symplectic geometry Marsden-Weinstein quotient Hamiltonian action moment map coadjoint orbit derived Artin stack 0-symplectic form

Cite

@article{arxiv.1205.6519,
  title  = {The Derived Marsden-Weinstein Quotient is Symplectic},
  author = {Jeremy Pecharich},
  journal= {arXiv preprint arXiv:1205.6519},
  year   = {2012}
}

Comments

8 pages, comments are welcome

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