Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

2003/11/11 by Camille Laurent-Gengoux, Ping Xu, Laurent-Gengoux, Camille +1
Mathematics · Physics and Astronomy · #58F05 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG) #math-ph #math.MP #math.SG #msc:58F05

paper · pdf · doi:10.48550/arxiv.math/0311154

30 pages Latex file, typos corrected, final version to appear in "Progress in Mathematics, Festschrift in honor of Alan Weinstein, Birkauser"

arxiv created 2004/07/26 · arxiv updated 2009/12/01

Abstract

We study the prequantization of quasi-presymplectic 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.

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