A Supergeometric Approach to Poisson Reduction

作者:Cattaneo A S*; Zambon M
来源:Communications in Mathematical Physics, 2013, 318(3): 675-716.
DOI:10.1007/s00220-013-1664-7

摘要

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.

  • 出版日期2013-3