A real convexity theorem for quasi-hamiltonian actions

Details A real convexity theorem for quasi-hamiltonian actions A real convexity theorem for quasi-hamiltonian actions

2007-05-07

arxiv.org/abs/0705.0858v1

Mathematics

Symplectic Geometry

25 pages

Scientific paper

The main result of this paper is a quasi-hamiltonian analogue of a special case of the O'Shea-Sjamaar convexity theorem for usual momentum maps. We denote by U a simply connected compact connected Lie group and we fix an involutive automorphism of maximal rank on this Lie group (such an automorphism always exists). We then denote by M a quasi-hamiltonian U-space and we prove that the image under the momentum map of the fixed-point set of a form-reversing compatible involution of M is a convex polytope, which is in fact equal to the full momentum polytope. This theorem was announced in arXiv:math/0609517v1. As an application, we obtain an example of lagrangian subspace in representation spaces of surface groups.

Affiliated with

Also associated with

No associations

Rating

A real convexity theorem for quasi-hamiltonian actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A real convexity theorem for quasi-hamiltonian actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A real convexity theorem for quasi-hamiltonian actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-598243