论文标题
缠结接触同源性
Tangle contact homology
论文作者
论文摘要
结触点同源性是$ \ mathbb r^3 $的结和链接的环境同位素不变。本文的目的是将此定义扩展到缠结的环境同位素不变，并证明缠结的粘合为结触点同源性提供了胶合公式。由于胶合公式，我们获得了缠结接触同源性检测缠结的微不足道。
Knot contact homology is an ambient isotopy invariant of knots and links in $\mathbb R^3$. The purpose of this paper is to extend this definition to an ambient isotopy invariant of tangles and prove that gluing of tangles gives a gluing formula for knot contact homology. As a consequence of the gluing formula we obtain that the tangle contact homology detects triviality of tangles.
