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Quasi-Hamiltonian Groupoids and Multiplicative Manin Pairs

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Li-Bland, David
Published in International Mathematics Research Notices. 2010
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.
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LI-BLAND, David, SEVERA, Pavol. Quasi-Hamiltonian Groupoids and Multiplicative Manin Pairs. In: International Mathematics Research Notices, 2010. https://archive-ouverte.unige.ch/unige:12054

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Deposited on : 2010-10-07

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