The Equivariant Cohomology of Hamiltonian G-spaces from Residual S Actions
نویسنده
چکیده
We show that for a Hamiltonian action of a compact torus G on a compact, connected symplectic manifold M , the Gequivariant cohomology is determined by the residual S action on the submanifolds of M fixed by codimension-1 tori. This theorem allows us to compute the equivariant cohomology of certain manifolds, which have pieces that are four-dimensional or smaller. We give several examples of the computations that this allows.
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تاریخ انتشار 2001