On Singular Poisson Sternberg Spaces

Details On Singular Poisson Sternberg Spaces On Singular Poisson Sternberg Spaces

2008-03-14

arxiv.org/abs/0803.2180v1

J. Symp. Geom. 7 2 (2009) 15-49

Mathematics

Symplectic Geometry

Scientific paper

We obtain a theory of stratified Sternberg spaces thereby extending the theory of cotangent bundle reduction for free actions to the singular case where the action on the base manifold consists of only one orbit type. We find that the symplectic reduced spaces are stratified topological fiber bundles over the cotangent bundle of the orbit space. We also obtain a Poisson stratification of the Sternberg space. To construct the singular Poisson Sternberg space we develop an appropriate theory of singular connections for proper group actions on a single orbit type manifold including a theory of holonomy extending the usual Ambrose-Singer theorem for principal bundles.

Affiliated with

Also associated with

No associations

Rating

On Singular Poisson Sternberg Spaces 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 On Singular Poisson Sternberg Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Singular Poisson Sternberg Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-246870