Quasi-Hamiltonian quotients as disjoint unions of symplectic manifolds

Details Quasi-Hamiltonian quotients as disjoint unions of symplectic manifolds Quasi-Hamiltonian quotients as disjoint unions of symplectic manifolds

2007-01-31

arxiv.org/abs/math/0701905v3

Noncommutative geometry and physics 2005, 31--54, World Sci. Publ., Hackensack, NJ, 2007.

Mathematics

Symplectic Geometry

Scientific paper

We show that the quotient associated to a quasi-Hamiltonian space has a symplectic structure even when 1 is not a regular value of the momentum map: it is a disjoint union of symplectic manifolds of possibly different dimensions, which generalizes a result of Alekseev, Malkin and Meinrenken. We illustrate this theorem with the example of representation spaces of surface groups. As an intermediary step, we show that the isotropy submanifolds of a quasi-Hamiltonian space are quasi-Hamiltonian spaces themselves.

Affiliated with

Also associated with

No associations

Rating

Quasi-Hamiltonian quotients as disjoint unions of symplectic manifolds 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 Quasi-Hamiltonian quotients as disjoint unions of symplectic manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-Hamiltonian quotients as disjoint unions of symplectic manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457281