Mathematics – Symplectic Geometry
Scientific paper
2006-09-19
C. R. Math. Acad. Sci. Paris 345 (2007), no. 1, 25--30
Mathematics
Symplectic Geometry
in French (English summary)
Scientific paper
10.1016/j.crma.2007.05.023
In this note, we state and give the main ideas of the proof of a real convexity theorem for group-valued momentum maps. This result is a quasi-Hamiltonian analogue of the O'Shea-Sjamaar theorem in the usual Hamiltonian setting. We prove here that the image under the momentum map of the fixed-point set of a form-reversing involution defined on a quasi-Hamiltonian space is a convex polytope, that we describe as a subpolytope of the momentum polytope.
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