Decomposition of Marsden-Weinstein reductions for representations of quivers

Details Decomposition of Marsden-Weinstein reductions for representations of quivers Decomposition of Marsden-Weinstein reductions for representations of quivers

2000-07-31

arxiv.org/abs/math/0007191v2

Compositio Math., 130 (2002), 225-239

Mathematics

Algebraic Geometry

12 pages; correction: the arguments do not prove reducedness of the schemes

Scientific paper

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.

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