Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894495 | Journal of Geometry and Physics | 2007 | 22 Pages |
Abstract
In order to construct an integrable system on the moduli space Hom(π1(S),G)/G of a punctured sphere SS, we establish a morphism between two interesting quasi-Poisson GG-manifolds, GnGn and a subspace g̃n of the loop algebra of gg. In particular, we prove a useful result about reduction in the quasi-Poisson context and we describe the construction of a quasi-Poisson structure coming from a Lie algebra splitting.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ariane Le Blanc,