The Crepant Resolution Conjecture

By Jim Bryan, T. Graber. 2006

159 citations recorded by the source corpus.

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

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ad02ddb01dc677b859963c6a2883964e251c1c23

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In Geometry and Topology

1. H. Iritani
2. Yunfeng Jiang
3. Tom Coates
4. Christopher Woodward
5. Bumsig Kim
6. Ionut Ciocan-Fontanine
7. Alexander Givental
8. Jeffrey Brown

In Mathematical Physics

1. H. Iritani
2. Tom Coates
3. Yunfeng Jiang
4. Christopher Woodward
5. Bumsig Kim
6. Ionut Ciocan-Fontanine

Citations in the corpus

• The Crepant Transformation Conjecture for Toric Complete Intersections (2014, methodology): “Ruan’s original conjecture was subsequently refined, revised, and extended to higher genus Gromov–Witten invariants, first by Bryan–Graber [19] under some additional hypotheses, and then by Coates–Iritani–Tseng, Iritani, and Ruan in general [35,36,51].”