Quasi-Hamiltonian groupoids and multiplicative Manin pairs
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2009
- DOI:
- 10.48550/arXiv.0911.2179
- arXiv:
- arXiv:0911.2179
- Bibcode:
- 2009arXiv0911.2179L
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematical Physics;
- 53D17;
- 53D30;
- 53D20
- E-Print:
- 39 pages