Desingularizing compact Lie group actions

Details Desingularizing compact Lie group actions Desingularizing compact Lie group actions

2009-08-31

arxiv.org/abs/0908.4555v1

Mathematics

Differential Geometry

6 pages

Scientific paper

This note surveys the well-known structure of G-manifolds and summarizes parts of two papers that have not yet appeared in print: one with joint with J. Bruning and F. W. Kamber, and another with I. Prokhorenkov. In particular, from a given manifold on which a compact Lie group acts smoothly, we construct a sequence of manifolds on which the same Lie group acts, but with fewer levels of singular strata. Global analysis and geometric results on the simpler manifolds may be translated to results on the original manifold. Further, we show that by utilizing bundles over a G-manifold with singular strata, we may construct natural equivariant transverse Dirac-type operators that have properties similar to Dirac operators on closed manifolds.

Affiliated with

Also associated with

No associations

Rating

Desingularizing compact Lie group 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 Desingularizing compact Lie group actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Desingularizing compact Lie group actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-220960