论文标题
某些方程的同源纤维链接和解决方案的存在
The existence of homologically fibered links and solutions of some equations
论文作者
论文摘要
在3个manifolds中，有一个概括的链接，称为同种纤维链路。众所周知，纤维表面具有给定同构类型的同源纤维表面的存在是由第一个同源性组及其扭转链接形式确定的，环境3个manifold的扭转链接形式。在本文中，我们根据第一个同源组及其扭转链接形式或环境歧管的手术图来解释与某些方程的溶液的同源纤维链接的存在。作为一个应用程序，我们计算通过同种纤维结定义的$ {\ rm hc}（\ cdot）$，用于3个manifolds，其扭转链接形式代表链接的生成器。
There is one generalization of fibered links in 3-manifolds, called homologically fibered links. It is known that the existence of homologically fibered links whose fiber surface has a given homeomorphic type is determined by the first homology group and its torsion linking form of the ambient 3-manifold. In this paper, we interpret the existence of homologically fibered links with that of a solution of some equation, in terms of the first homology group and its torsion linking form or a surgery diagram of the ambient manifold. As an application, we compute the ${\rm hc}(\cdot)$, defined through homologically fibered knots, for 3-manifolds whose torsion linkng forms represent a generator of linkings.
