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Published 2009 | Published
Book Section - Chapter Open

The Crepant Resolution Conjecture

Abstract

For orbifolds admitting a crepant resolution and satisfying a hardLefschetz condition, we formulate a conjectural equivalence between the Gromov-Witten theories of the orbifold and the resolution. We prove the conjecturefor the equivariant Gromov-Witten theories of Sym^n C^2 and Hilb^n C^2

Additional Information

© 2009. American Mathematical Society. We warmly acknoledge helpful discussions with Mina Aganagic, Renzo Cavalieri, Tom Coates, Amin Gholampour, Yunfeng Jiang, Rahul Pandharipande, Michael Thaddeus, and Hsian-Hua Tseng. We acknowledge support from NSERC, NSF, the Sloan Foundation and IHES.

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Published - Bryan2009p5463Chapman___HallCRC_Data_Min._Knowl._Discov._Ser.pdf

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August 20, 2023
Modified:
January 12, 2024