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

Camille Laurent-Gengoux, Ping Xu

Research output: Chapter in Book/Report/Conference proceedingChapter

5 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 - Jan 1 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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  • Cite this

    Laurent-Gengoux, C., & Xu, P. (2005). Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces. In Progress in Mathematics (pp. 423-454). (Progress in Mathematics; Vol. 232). Springer Basel. https://doi.org/10.1007/0-8176-4419-9_14