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arXiv · 1310.1687

Singular equivariant asymptotics and the momentum map. Residue formulae in equivariant cohomology

Pablo Ramacher
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Abstract

Let $M$ be a smooth manifold and $G$ a compact connected Lie group acting on $M$ by isometries. In this paper, we study the equivariant cohomology of ${\bf X}=T^\ast M$, and relate it to the cohomology of the Marsden-Weinstein reduced space via certain residue formulae. In case that $\bf X$ is a compact symplectic manifold with a Hamiltonian $G$-action, similar residue formulae were derived by Jeffrey, Kirwan et al.

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Pablo Ramacher. 2013-10-07. Singular equivariant asymptotics and the momentum map. Residue formulae in equivariant cohomology. https://arxiv.org/abs/1310.1687

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