论文标题
属属的开放拓扑递归关系$ 1 $和集成系统
Open topological recursion relations in genus $1$ and integrable systems
论文作者
论文摘要
本文致力于第1属中的开放拓扑递归关系，它们是部分微分方程，在第1属中构思开放的gromov-witten不变性。我们找到了与Dijkgraaf-witter公式相似的任何解决方案的明确公式，用于在属属中进行逐渐启动的概述。满足具有一个空间变量的明确构建线性进化PDE的系统。
The paper is devoted to the open topological recursion relations in genus 1, which are partial differential equations that conjecturally control open Gromov-Witten invariants in genus 1. We find an explicit formula for any solution analogous to the Dijkgraaf-Witten formula for a descendent Gromov-Witten potential in genus 1. We then prove that at the approximation up to genus 1 the exponent of an open descendent potential satisfies a system of explicitly constructed linear evolutionary PDEs with one spatial variable.
