For Publishers
DiscoveryMetadataPeer reviewHostingPublishing
For Researchers
JoinPublishReviewCollect
Register
Blog
About
Search
Advanced search
My ScienceOpen
Search
For Publishers
For Researchers
Blog
About
10
views
14
references
 Top references
cited by
0
    
0 reviews
 Review
0
comments
 Comment
0
recommends
+1 Recommend
0 collections
    0
    shares
      257
      similar
       All similar
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      The momentum map in Poisson geometry

      Preprint
      Author(s): , ,
      Publication date Created:

      Read this article at

      ScienceOpenArXiv
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction.

          Related collections

          Most cited references14

          • Record: found
          • Abstract: not found
          • Article: not found

          Reduction of symplectic manifolds with symmetry

          Jerrold E. Marsden, Alan WEINSTEIN (1974)
          Article 0 comments Cited 184 times – based on 0 reviews     Review now
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Convexity properties of the moment mapping

            V GUILLEMIN, S Sternberg (1982)
            Article 0 comments Cited 178 times – based on 0 reviews     Review now
              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Integrability of Poisson Brackets

              Marius Crainic, Rui Loja Fernandes (2004)
              Article 0 comments Cited 61 times – based on 0 reviews     Review now
                Bookmark
                All references

                Author and article information

                Journal
                Publication date Created: 04 May 2007
                Publication date Updated: 2009-03-02
                Article
                ArXiV ID: 0705.0562
                SO-VID: 695bf104-e772-4343-a997-0e9fa5ded32e
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                ACM classes 53D17; 53D20
                Comments 34 pages; to appear in American Journal of Mathematics
                Categories math.SG math.DG

                Data availability:

                Comments

                Comment on this article