A Hochschild homology Euler characteristic for circle actions

Details A Hochschild homology Euler characteristic for circle actions A Hochschild homology Euler characteristic for circle actions

1998-10-27

arxiv.org/abs/math/9810151v1

Mathematics

K-Theory and Homology

50 pages, To appear in "K-Theory"

Scientific paper

We define a "circle Euler characteristic" of a circle action on a compact manifold or finite complex X. It lies in the first Hochschild homology group of ZG where G is the fundamental group of X. It is analogous in many ways to the ordinary Euler characteristic. One application is an intuitively satisfying formula for the Euler class (integer coefficients) of the normal bundle to a smooth circle action without fixed points on a manifold. In the special case of a 3-dimensional Seifert fibered space, this formula is particularly effective. \~

Affiliated with

Also associated with

No associations

Rating

A Hochschild homology Euler characteristic for circle 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 Hochschild homology Euler characteristic for circle actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Hochschild homology Euler characteristic for circle actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-311993