论文标题
通过拓扑递归的虚拟Euler特征
Virtual Euler characteristics via topological recursion
论文作者
论文摘要
我们在拓扑递归框架中使用seiberg-造型的关系,以获取用于经典正交多项式合奏的单细胞图和多细胞图的虚拟欧拉特征,以及与不可方向的表面相关的合奏。我们还讨论了Legendre合奏的1点相关函数的Harer-Zagier-type递归关系。
We use Seiberg--Witten-like relations in the topological recursion framework to obtain virtual Euler characteristics for uni- and multicellular maps for ensembles of classic orthogonal polynomials and for ensembles related to nonorientable surfaces. We also discuss Harer--Zagier-type recursion relations for 1-point correlation function for the Legendre ensemble.