Crepant resolution conjecture for $\mathbb{C}^5/\mathbb{Z}_5$

Hyenho Lho

Crepant resolution conjecture for $\mathbb{C}^5/\mathbb{Z}_5$

Algebraic Geometry 2017-07-18 v2

Authors: Hyenho Lho

Abstract

We study the relationship between Gromov-Witten invariants of local $\mathbb{P}^4$ and Gromov-witten invariants of $[\mathbb{C}^5/\mathbb{Z}_5]$ for all genera. We state the crepant resolution conjecture in explicit form and prove this conjecture for $g=2,3.$

Keywords

crepant resolution conjecture gromov-witten theory

Cite

@article{arxiv.1707.02910,
  title  = {Crepant resolution conjecture for $\mathbb{C}^5/\mathbb{Z}_5$},
  author = {Hyenho Lho},
  journal= {arXiv preprint arXiv:1707.02910},
  year   = {2017}
}

Comments

22 pages

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