Journal
MATHEMATISCHE ZEITSCHRIFT
Volume 258, Issue 1, Pages 1-28Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00209-007-0152-1
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We investigate the Poisson geometry of the Marsden-Weinstein reductions of the moment map associated to the cotangent bundle of the space of representations of a quiver. We show that the stratification by representation type equals the stratification by symplectic leaves. The deformed symplectic quotient singularities-spectra of centres of symplectic reflection algebras associated to a wreath product-are shown to be isomorphic to reductions of a certain quiver. This establishes a method to calculate when these deformations are smooth. Furthermore, the isomorphism identifies symplectic leaves and so one can give a description of their symplectic leaves in terms of roots of the quiver.
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