Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces

Camille Laurent-Gengoux, Ping Xu

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Scopus citations

Abstract

We study the prequantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces using S1-gerbes. We give a geometric description of the integrality condition. As an application, we study the prequantization of the quasi-Hamiltonian G-spaces of Alekseev-Malkin-Meinrenken.

Original languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages423-454
Number of pages32
DOIs
StatePublished - 2005

Publication series

NameProgress in Mathematics
Volume232
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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