Title

Finite Stationary Phase Expansions

Document Type

Article

Publication Date

6-1-2005

Publication Title

Asian Journal Of Mathematics

Department

Mathematics and Computer Science

Abstract

Functions which are moment maps of Hamiltonian actions on symplectic manifolds have the property that their stationary phase expansions have only finitely many nonzero terms and are therefore precise rather than asymptotic. In this paper, we exhibit another type of function which has this property and explain why interms of equivariant cohomology and the geometry of the spaces involved.

Volume

9

Issue

2

pp.

187-198

ISSN

1093-6106