Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

Details Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

2003-11-11

arxiv.org/abs/math/0311154v2

Mathematics

Symplectic Geometry

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

Scientific paper

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.

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