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The Crepant Resolution Conjecture

Jim Bryan·Tom Graber
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Abstract

For orbifolds admitting a crepant resolution and satisfying a hard Lefschetz condition, we formulate a conjectural equivalence between the Gromov-Witten theories of the orbifold and the resolution. We prove the conjecture for the equivariant Gromov-Witten theories of the nth symmetric product of the complex plane and the Hilbert scheme of n points in the plane.

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Jim Bryan, Tom Graber. 2007-01-07. The Crepant Resolution Conjecture. https://arxiv.org/abs/math/0610129

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