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arXiv · 2004.06739

The $r$-ELSV Formula via Localisation on the Moduli Space of Stable Maps with Divisible Ramification

Oliver Leigh
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Abstract

The moduli space of stable maps with divisible ramification uses $r$-th roots of a canonical ramification section to parametrise stable maps whose ramification orders are divisible by a fixed integer $r$. 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 $r$-ELSV formula as an intersection of the virtual class with a pullback via the branch morphism.

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Oliver Leigh. 2020-04-14. The $r$-ELSV Formula via Localisation on the Moduli Space of Stable Maps with Divisible Ramification. https://arxiv.org/abs/2004.06739

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