Quasi-Hamiltonian groupoids and multiplicative Manin pairs

Details Quasi-Hamiltonian groupoids and multiplicative Manin pairs Quasi-Hamiltonian groupoids and multiplicative Manin pairs

2009-11-11

arxiv.org/abs/0911.2179v5

International Mathematics Research Notices 2011, 2295-2350 (2011)

Mathematics

Differential Geometry

39 pages

Scientific paper

10.1093/imrn/rnq170

We reformulate notions from the theory of quasi-Poisson g-manifolds in terms of graded Poisson geometry and graded Poisson-Lie groups and prove that quasi-Poisson g-manifolds integrate to quasi-Hamiltonian g-groupoids. We then interpret this result within the theory of Dirac morphisms and multiplicative Manin pairs, to connect our work with more traditional approaches, and also to put it into a wider context suggesting possible generalizations.

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