Knot and braid invariants from contact homology II
Knot and braid invariants from contact homology II
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接触同源 II 中的结和辫子不变量
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Lenhard L. Ng
中科院分区：
文献类型：
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作者：
Lenhard L. Ng
根据绳和绞的关系，给出了零度结和编织接触同调的拓扑解释。这种解释允许我们将结不变量扩展到嵌入图和高维结。我们计算了双桥结的不变量，并将其与一般结的双分支盖联系起来。在附录中，我们证明了绳环是由结的基本群和外围结构决定的，并给出了应用。
We present a topological interpretation of knot and braid contact homology in degree zero, in terms of cords and skein relations. This interpretation allows us to extend the knot invariant to embedded graphs and higher-dimensional knots. We calculate the knot invariant for two-bridge knots and relate it to double branched covers for general knots. In the appendix we show that the cord ring is determined by the fundamental group and peripheral structure of a knot and give applications.