Decomposition of Marsden-Weinstein reductions for representations of quivers
Algebraic Geometry
2007-05-23 v2
Abstract
We decompose the Marsden-Weinstein reductions for the moment map associated to representations of a quiver. The decomposition involves symmetric products of deformations of Kleinian singularities, as well as other terms. As a corollary we deduce that the Marsden-Weinstein reductions are irreducible varieties.
Keywords
Cite
@article{arxiv.math/0007191,
title = {Decomposition of Marsden-Weinstein reductions for representations of quivers},
author = {William Crawley-Boevey},
journal= {arXiv preprint arXiv:math/0007191},
year = {2007}
}
Comments
12 pages; correction: the arguments do not prove reducedness of the schemes