Cobordism theory and localization formulas for Hamiltonian group actions

Details Cobordism theory and localization formulas for Hamiltonian group actions Cobordism theory and localization formulas for Hamiltonian group actions

1996-01-12

arxiv.org/abs/dg-ga/9601003v1

Mathematics

Differential Geometry

14 pages, AMS-LaTeX

Scientific paper

We announce the following result and give several applications: A Hamiltonian
$T$-space (for $T$ a torus) with isolated fixed points is cobordant to a
disjoint union of weighted projective spaces which are constructed from its
fixed point data. The applications concern the Duistermaat-Heckman formula, the
topological Jeffrey-Kirwan localization theorem, and geometric quantization.

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