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- W2566758262 abstract "In their 2005 paper, C. Laurent-Gengoux and P. Xu define prequantization for pre-Hamiltonian actions of quasi-presymplectic Lie groupoids in terms of S1-central extensions of Lie groupoids. The definition requires that the quasi-presymplectic structure be exact (i.e., the closed 3-form on the unit space of the Lie groupoid must be exact). In the present paper, we define prequantization for pre-Hamiltonian actions of (not necessarily exact) quasi-presymplectic Lie groupoids in terms of Dixmier–Douady bundles. The definition is a natural adaptation of E. Meinrenken’s treatment of prequantization for quasi-Hamiltonian Lie group actions with group-valued moment map. The definition given in this paper is shown to be compatible with the definition of Laurent-Gengoux and Xu when the underlying quasi-preysmplectic structure is exact. Properties related to Morita invariance and symplectic reduction are established." @default.
- W2566758262 created "2017-01-06" @default.
- W2566758262 creator A5069468652 @default.
- W2566758262 date "2018-01-03" @default.
- W2566758262 modified "2023-09-24" @default.
- W2566758262 title "Groupoid Equivariant Prequantization" @default.
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- W2566758262 doi "https://doi.org/10.1007/s00220-017-3080-x" @default.
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