Poincare duality in P.A. Smith theory

Details Poincare duality in P.A. Smith theory Poincare duality in P.A. Smith theory

2002-05-22

arxiv.org/abs/math/0205227v1

Mathematics

Algebraic Topology

10 pages, to be published in Proc. AMS

Scientific paper

Let G=S^1, G=Z/p or more generally G be a finite p group, where p is an odd prime number. If G acts on a space whose cohomology ring satisfies Poincare duality (with appropriate coefficients k), we prove a mod 4 congruence between the total Betti number of X^G and a number which depends only on the k[G]-module structure of H^*(X;k). This improves the well known mod 2 congruences that hold for actions on general spaces.

Affiliated with

Also associated with

No associations

Rating

Poincare duality in P.A. Smith theory 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 Poincare duality in P.A. Smith theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poincare duality in P.A. Smith theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-32731