Bordered Heegaard Floer homology and the tau-invariant of cable knots
Bordered Heegaard Floer homology and the tau-invariant of cable knots
复制标题
DOI：
10.1112/jtopol/jtt030
复制
发表时间：
2014-06-01
影响因子：
1.1
通讯作者：
Hom, Jennifer
中科院分区：
文献类型：
--
作者：
Hom, Jennifer
我们定义了一个与K的纽结Floer复形有关的调和不变量epsilon(K)，并给出了关于p，q，tau(K)和epsilon(K)的K-p，K-q的Ozsvath-Szabo协调不变量的公式。我们还描述了epsilon在布线下的行为，允许计算迭代电缆的tau。讨论了epsilon的各种性质和应用。
We define a concordance invariant, epsilon(K), associated to the knot Floer complex of K, and give a formula for the Ozsvath-Szabo concordance invariant tau of K-p,K-q, the (p, q)-cable of a knot K, in terms of p, q, tau(K), and epsilon(K). We also describe the behavior of epsilon under cabling, allowing one to compute tau of iterated cables. Various properties and applications of epsilon are also discussed.