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arXiv · 0911.2179

Quasi-Hamiltonian groupoids and multiplicative Manin pairs

David Li-Bland·Pavol Severa
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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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David Li-Bland, Pavol Severa. 2009-11-11. Quasi-Hamiltonian groupoids and multiplicative Manin pairs. https://doi.org/10.1093/imrn/rnq170

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