A supergeometric approach to Poisson reduction

Details A supergeometric approach to Poisson reduction A supergeometric approach to Poisson reduction

2010-09-05

arxiv.org/abs/1009.0948v1

Mathematics

Symplectic Geometry

39 pages

Scientific paper

This work introduces a unified approach to the reduction of Poisson manifolds
using their description by graded symplectic manifolds. This yields a
generalization of the classical Poisson reduction by distributions
(Marsden-Ratiu reduction). Further it allows one to construct actions of strict
Lie 2-groups and to describe the corresponding reductions.

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