Cobordism theory and localization formulas for Hamiltonian group actions

Abstract

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.

14 pages, AMS-LaTeX

References in corpus (2)

• Duistermaat-Heckman measures in a non-compact setting
• Hamiltonian torus actions on symplectic orbifolds and toric varieties

Cited by in corpus (2)

• The index theory on non-compact manifolds with proper group action
• Norm-square localization for Hamiltonian $LG$-spaces