Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

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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