The $r$-ELSV Formula via Localisation on the Moduli Space of Stable Maps with Divisible Ramification
Algebraic Geometry
2020-04-16 v1
Abstract
The moduli space of stable maps with divisible ramification uses -th roots of a canonical ramification section to parametrise stable maps whose ramification orders are divisible by a fixed integer . In this article, a virtual fundamental class is constructed while letting domain curves have a positive genus; hence removing the restriction of the domain curves being genus zero. We apply the techniques of virtual localisation and obtain the -ELSV formula as an intersection of the virtual class with a pullback via the branch morphism.
Keywords
Cite
@article{arxiv.2004.06739,
title = {The $r$-ELSV Formula via Localisation on the Moduli Space of Stable Maps with Divisible Ramification},
author = {Oliver Leigh},
journal= {arXiv preprint arXiv:2004.06739},
year = {2020}
}