Geometrical McKay Correspondence for Isolated Singularities
Abstract
A Calabi-Yau orbifold is locally modeled on Cn/G where G is a finite subgroup of SL(n, C). In dimension n=3 a crepant resolution is given by Nakamura's G-Hilbert scheme. This crepant resolution has a description as a GIT/symplectic quotient. We use tools from global analysis to give a geometrical generalization of the McKay Correspondence to this case.
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