The Crepant Resolution Conjecture

Details The Crepant Resolution Conjecture The Crepant Resolution Conjecture

2006-10-03

arxiv.org/abs/math/0610129v2

Mathematics

Algebraic Geometry

The relationship between our conjecture and Ruan's original conjecture is clarified. We have also added the Hard Lefschetz hyp

Scientific paper

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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