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Quasi-Hamiltonian Groupoids and Multiplicative Manin Pairs

Publication date2010
Abstract

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.

Citation (ISO format)
LI-BLAND, David, SEVERA, Pavol. Quasi-Hamiltonian Groupoids and Multiplicative Manin Pairs. In: International mathematics research notices, 2010. doi: 10.1093/imrn/rnq170
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ISSN of the journal1073-7928
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