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"