The equivariant index theorem for transversally elliptic operators and the basic index theorem for Riemannian foliations

Mathematics – Differential Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

12 pages, typos corrected, some statements in introduction clarified

Scientific paper

In this expository paper, we explain a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a $G$-manifold. The formula is a sum of integrals over blowups of the strata of the group action and also involves eta invariants of associated elliptic operators. Among the applications is an index formula for basic Dirac operators on Riemannian foliations, a problem that was open for many years. This paper summarizes the work in the papers arXiv:1005.3845 [math.DG] and arXiv:1008.1757 [math.DG].

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The equivariant index theorem for transversally elliptic operators and the basic index theorem for Riemannian foliations 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 The equivariant index theorem for transversally elliptic operators and the basic index theorem for Riemannian foliations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The equivariant index theorem for transversally elliptic operators and the basic index theorem for Riemannian foliations will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-586485

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.