论文标题
$ r $ -ELSV公式通过本地化在稳定地图的模量空间上,可划分分支。
The $r$-ELSV Formula via Localisation on the Moduli Space of Stable Maps with Divisible Ramification
论文作者
论文摘要
带有可划分的稳定地图的模量空间使用$ r $ r $ th的根源,用于参数稳定地图,其分支订单由固定整数$ r $排除。在本文中,构建了一个虚拟基本类,同时让域曲线具有积极的属。因此,消除了零属的域曲线的限制。我们应用虚拟本地化的技术,并获得$ r $ -ELSV公式作为虚拟类通过分支形态的回调的相交。
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.