A connectedness property of algebraic moment maps
arXiv:math/0108069 · doi:10.1016/S0021-8693(02)00509-4
Abstract
Let a connected reductive group G act on the smooth connected variety X. The cotangent bundle of X is a Hamiltonian G-variety. We show that its "total moment map" has connected fibers. This is an expanded version of section 6 of my paper dg-ga/9712010 on Weyl groups of Hamiltonian manifolds.
15 pages