Mathematics – Algebraic Topology
Scientific paper
2002-05-22
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.
Allday Ch.
Hanke Bernhard
Puppe Volker
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