The residue formula and the Tolman-Weitsman theorem

Details The residue formula and the Tolman-Weitsman theorem The residue formula and the Tolman-Weitsman theorem

2002-04-03

arxiv.org/abs/math/0204051v3

Mathematics

Symplectic Geometry

8 pages;several misprints in v. 2 have been corrected

Scientific paper

We give a simple direct proof (for the case of Hamiltonian circle actions with isolated fixed points) that Tolman and Weitsman's description of the kernel of the Kirwan map (in other words the sum of those equivariant cohomology classes vanishing on one side of a collection of hyperplanes) is equivalent to the characterization of this kernel given by the residue theorem of Jeffrey and Kirwan.

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