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Communications in Mathematical Physics

, Volume 318, Issue 3, pp 675–716 | Cite as

A Supergeometric Approach to Poisson Reduction

  • A. S. Cattaneo
  • M. ZambonEmail author
Article

Abstract

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 and allows one to construct actions of strict Lie 2-groups and to describe the corresponding reductions.

Keywords

Vector Bundle Poisson Bracket Symplectic Manifold Poisson Structure Constant Rank 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institut für MathematikUniversität Zürich-IrchelZürichSwitzerland
  2. 2.Departamentos de Matematica PuraUniversidade do PortoPortoPortugal

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