论文标题
电缆legendrian和横向结
Cabling Legendrian and transverse knots
论文作者
论文摘要
在本文中，我们将展示如何根据基础结的分类为结的结式和横向结和横向结。我们还将完全解释“ Legendrian大型电缆”的现象。这些是电缆的传奇代表，这些电缆的代表使瑟斯顿·奔驰的不变性大于来自电缆圆环的框架。直到最近才发现此类示例。我们还将提供标准，以确定Legendrian和横向结的分类为负电缆的结。
In this paper we will show how to classify Legendrian and transverse knots in the knot type of "sufficiently positive" cables of a knot in terms of the classification of the underlying knot. We will also completely explain the phenomena of "Legendrian large" cables. These are Legendrian representatives of cables that have Thurston-Bennequin invariant larger that the framing coming from the cabling torus. Such examples have only recently, and unexpectedly, been found. We will also give criteria that determines the classification of Legendrian and transverse knots the the knot type of negative cables.
