%0 Journal Article
%T Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Chen, Yanchang
%A Wang, Yanying
%D 2012
%\ 07/15/2012
%V 38
%N 2
%P 529-542
%! Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them
%K G-manifold
%K equivariant index
%K equivariant cohomology
%K ring homomorphism
%R
%X In this paper, we consider a class of connected oriented (with respect to Z/p) closed G-manifolds with a non-empty finite fixed point set, each of which is G-equivariantly formal, where G = Z/p and p is an odd prime. Using localization theorem and equivariant index, we give an explicit description of the mod p equivariant cohomology ring of such a G-manifold in terms of algebra. This makes it possible to determine the number of equivariant cohomology rings (up to isomorphism) of such 2-dimensional G-manifolds. Moreover, we obtain a description of the ring homomorphism between equivariant cohomology rings of such two G-manifolds induced by a G-equivariant map, and show a characterization of the ring homomorphism.
%U http://bims.iranjournals.ir/article_217_d78bd5727580f199e3b327f8189d5d8a.pdf