论文标题
计算Hurwitz数字的公式
Formulae for calculating Hurwitz numbers
论文作者
论文摘要
在本文中,我们旨在为各种公式提供可访问的调查,以计算单个Hurwitz数字。单个Hurwitz数量计算了某些类似的Meromorthic功能在复杂的代数曲线上,并且背后具有丰富的几何结构,这吸引了许多数学家和物理学家。枚举问题的表述纯粹是拓扑性质,但与几个现代数学和物理学领域的联系。
In this paper, we aim to provide an accessible survey to various formulae for calculating single Hurwitz numbers. Single Hurwitz numbers count certain classes of meromorphic functions on complex algebraic curves and have a rich geometric structure behind them which has attracted many mathematicians and physicists. Formulation of the enumeration problem is purely of topological nature, but with connections to several modern areas of mathematics and physics.