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The Crepant Resolution Conjecture

Bryan, Jim and Graver, Tom (2009) The Crepant Resolution Conjecture. In: Algebraic Geometry. Proceedings of Symposia in Pure Mathematics (v. 80, pt. 1). American Mathematical Society , Seattle, Washington , pp. 23-42. ISBN 9780821840573 http://resolver.caltech.edu/CaltechAUTHORS:20091002-145728616

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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


Item Type:Book Section
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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Funding AgencyGrant Number
Natural Sciences and Engineering Research Council (Canada)UNSPECIFIED
NSFUNSPECIFIED
Sloan FoundationUNSPECIFIED
Institut des Hautes Études Scientifiques (Institute of Advanced Research in Mathematics and Theoretical)UNSPECIFIED
Record Number:CaltechAUTHORS:20091002-145728616
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ID Code:16175
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:06 Oct 2009 21:09
Last Modified:26 Dec 2012 11:26

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