Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69141We 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"Symplectic GeometryMathematical Physics58F05Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spacestext