On Homotopy Poisson Actions and Reduction of Symplectic Q-Manifolds

Authors

Rajan Amit Mehta, Washington University in St. LouisFollow

Document Type

Article

Publication Date

6-1-2011

Publication Title

Differential Geometry and its Application

Abstract

We present a general framework for reduction of symplectic Q-manifolds via graded group actions. In this framework, the homological structure on the acting group is a multiplicative multivector field.

Keywords

Graded manifold, L-infinity algebra, Poisson manifold, Q-manifold, Symplectic reduction

Volume

29

Issue

3

First Page

319

Last Page

328

DOI

10.1016/j.difgeo.2011.03.002

ISSN

09262245

Rights

© 2011 Elsevier B.V.

Comments

Archived as published.

Open access article.

Recommended Citation

Mehta, Rajan Amit, "On Homotopy Poisson Actions and Reduction of Symplectic Q-Manifolds" (2011). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/92