Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

Camille Laurent-Gengoux; Ping Xu

Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

Symplectic Geometry 2007-05-23 v2 Mathematical Physics math.MP

Authors: Camille Laurent-Gengoux , Ping Xu

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.

Keywords

quasi-presymplectic groupoids hamiltonian spaces prequantization s^1-gerbes quasi-hamiltonian spaces

Cite

@article{arxiv.math/0311154,
  title  = {Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces},
  author = {Camille Laurent-Gengoux and Ping Xu},
  journal= {arXiv preprint arXiv:math/0311154},
  year   = {2007}
}

Comments

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

Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces

Abstract

Keywords

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