Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

Camille Laurent-Gengoux; Ping Xu

paper

Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

arXiv:math/0311154

Abstract

We study the prequantization of quasi-presymplectic groupoids and their Hamiltonian spaces using $S^{1}$ -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.

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