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Decomposition of Marsden-Weinstein reductions for representations of quivers

William Crawley-Boevey
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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.

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William Crawley-Boevey. 2001-02-12. Decomposition of Marsden-Weinstein reductions for representations of quivers. https://arxiv.org/abs/math/0007191

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