The momentum map in Poisson geometry

Rui Loja Fernandes, Juan Pablo Ortega, S. Tudor Ratiu

Research output: Contribution to journalArticle

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..

Original languageEnglish (US)
Pages (from-to)1261-1310
Number of pages50
JournalAmerican Journal of Mathematics
Volume131
Issue number5
DOIs
StatePublished - 2009
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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