A connectedness property of algebraic moment maps
Algebraic Geometry
2007-05-23 v1 Representation Theory
Symplectic Geometry
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.
Cite
@article{arxiv.math/0108069,
title = {A connectedness property of algebraic moment maps},
author = {Friedrich Knop},
journal= {arXiv preprint arXiv:math/0108069},
year = {2007}
}
Comments
15 pages