@article {
author = {Chen, Yanchang and Wang, Yanying},
title = {Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {38},
number = {2},
pages = {529-542},
year = {2012},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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.},
keywords = {G-manifold,equivariant index,equivariant cohomology,ring homomorphism},
url = {http://bims.iranjournals.ir/article_217.html},
eprint = {http://bims.iranjournals.ir/article_217_d78bd5727580f199e3b327f8189d5d8a.pdf}
}