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arxiv: math/0007191 · v2 · submitted 2000-07-31 · 🧮 math.AG

Decomposition of Marsden-Weinstein reductions for representations of quivers

classification 🧮 math.AG
keywords marsden-weinsteinreductionsdecompositionrepresentationsassociatedcorollarydecomposededuce
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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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