Knot doubling operators and bordered Heegaard Floer homology
Knot doubling operators and bordered Heegaard Floer homology
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结加倍算子和有界 Heegaard Floer 同源
DOI：
10.1112/jtopol/jts021
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发表时间：
2010
影响因子：
1.1
通讯作者：
A. Levine
中科院分区：
文献类型：
--
作者：
A. Levine
我们使用有边界的Heegaard flower同源性来计算通过沿着Borromean环的两个分量的扭曲感染获得的卫星结族的τ不变量，这是Whitehead加倍的推广。我们证明了所得到的结的τ仅取决于两个扭转参数和两个伴生结的τ值。我们还包括一些关于边界Heegaard花同源性的注释，这可能是对该主题的有用介绍。
We use bordered Heegaard Floer homology to compute the τ invariant of a family of satellite knots obtained via twisted infection along two components of the Borromean rings, a generalization of Whitehead doubling. We show that τ of the resulting knot depends only on the two twisting parameters and the values of τ for the two companion knots. We also include some notes on bordered Heegaard Floer homology that may serve as a useful introduction to the subject.