Linear Hyperelliptic Hodge Integrals
Algebraic Geometry
2019-10-17 v1
Abstract
We provide a closed form expression for linear Hodge integrals on the hyperelliptic locus. Specifically, we find a succinct combinatorial formula for all intersection numbers on the hyperelliptic locus with one -class, and powers of a -class pulled back along the branch map. This is achieved by using Atiyah-Bott localization on a stack of stable maps into the orbifold .
Cite
@article{arxiv.1910.07330,
title = {Linear Hyperelliptic Hodge Integrals},
author = {Adam Afandi},
journal= {arXiv preprint arXiv:1910.07330},
year = {2019}
}