English

Crepant resolution conjecture in all genera for type A singularities

Algebraic Geometry 2008-11-14 v1 Symplectic Geometry

Abstract

We prove an all genera version of the Crepant Resolution Conjecture of Ruan and Bryan-Graber for type A surface singularities. We are based on a method that explicitly computes Hurwitz-Hodge integrals described in an earlier paper and some recent results by Liu-Xu for some intersection numbers on the Deligne-Mumford moduli spaces. We also generalize our results to some three-dimensional orbifolds.

Keywords

Cite

@article{arxiv.0811.2023,
  title  = {Crepant resolution conjecture in all genera for type A singularities},
  author = {Jian Zhou},
  journal= {arXiv preprint arXiv:0811.2023},
  year   = {2008}
}
R2 v1 2026-06-21T11:41:00.671Z