The Crepant Resolution Conjecture

2006/10/03 by Jim Bryan, Bryan, Jim, Tom Graber +1 · 1 citation
Mathematics · #14N35 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0610129

openalex publication_date 2006/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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