The Moment Map and Equivariant Cohqmology
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Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them
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 ...
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Let M be a compact manifold with a Hamiltonian T action and moment map Φ. The restriction map in equivariant cohomology from M to a level set Φ(p) is a surjection, and we denote the kernel by Ip. When T has isolated fixed points, we show that Ip distinguishes the chambers of the moment polytope for M . In particular, counting the number of distinct ideals Ip as p varies over different chambers ...
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تاریخ انتشار 1982