College of Mathematics and Information Science, Hebei Normal University, Yuhua Road 113, Shijiazhuang 050016, P. R. China
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.
Chen, Y., Wang, Y. (2012). Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them. Bulletin of the Iranian Mathematical Society, 38(2), 529-542.
MLA
Yanchang Chen; Yanying Wang. "Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them". Bulletin of the Iranian Mathematical Society, 38, 2, 2012, 529-542.
HARVARD
Chen, Y., Wang, Y. (2012). 'Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them', Bulletin of the Iranian Mathematical Society, 38(2), pp. 529-542.
VANCOUVER
Chen, Y., Wang, Y. Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them. Bulletin of the Iranian Mathematical Society, 2012; 38(2): 529-542.
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