English

The Gerby Gopakumar-Mari\~no-Vafa Formula

Algebraic Geometry 2015-01-09 v4 Mathematical Physics Combinatorics math.MP

Abstract

We prove a formula for certain cubic Zn\Z_n-Hodge integrals in terms of loop Schur functions. We use this identity to prove the Gromov-Witten/Donaldson-Thomas correspondence for local Zn\Z_n-gerbes over \proj1\proj^1.

Cite

@article{arxiv.1208.4342,
  title  = {The Gerby Gopakumar-Mari\~no-Vafa Formula},
  author = {Dustin Ross and Zhengyu Zong},
  journal= {arXiv preprint arXiv:1208.4342},
  year   = {2015}
}

Comments

43 pages, Published Version

R2 v1 2026-06-21T21:53:38.768Z