Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces
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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"
30 pages Latex file, typos corrected, final version to appear in "Progress in Mathematics, Festschrift in honor of Alan Weinstein, Birkauser"