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Decomposition of Marsden–Weinstein Reductions for Representations of Quivers |
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| Authors: | William Crawley-Boevey |
| Institution: | (1) Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT, U.K. |
| 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: | quiver representation moment map Marsden– Weinstein reduction symplectic reduction Kleinian singularity |
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