%0 Journal Article
%T Singular equivariant asymptotics and the momentum map. Residue formulae in equivariant cohomology
%A Pablo Ramacher
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1310.1687v1