Visualization of A'Campo's fibered links and unknotting operation
Visualization of A'Campo's fibered links and unknotting operation
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ACampo 光纤链路和解结操作的可视化
DOI：
10.1016/s0166-8641(01)00124-9
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发表时间：
2002
影响因子：
0.6
通讯作者：
M. Hirasawa
中科院分区：
文献类型：
--
作者：
M. Hirasawa
A 'Campo从所谓的划分中制定了在三维球体中构建链接的方法，即，1-流形的副本浸入圆盘中。从复超曲面的孤立奇点得到的链接可以从整除得到，但反之则不然。他证明了任何从连接的分割得到的链接都是纤维链接，并计算了这种结的解结数。本文给出了一种快速绘制给定分界线连线图和纤维曲面图的方法。通过可视化分割的结，我们可以计算一些不是来自分割的结的解结数。
A'Campo formulated the way to construct a link in the 3-sphere from so-called divides, i.e., immersions of copies of 1-manifolds in a disk. Links obtained from isolated singularities of complex hypersurfaces are obtained from divides, but not vice versa. He proved that any link obtained from a connected divide is a fibered link, and calculated the unknotting numbers of such knots. In this article, we give a quick method to draw the diagrams of the link of the given divide, together with the fiber surface. By visualizing the knots of divides, we can calculate the unknotting numbers for some knots which do not come from a divide.