Volumes of highly twisted knots and links
Volumes of highly twisted knots and links
复制标题
大量高度扭曲的结和链接
DOI：
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发表时间：
2006
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通讯作者：
Jessica S. Purcell
中科院分区：
文献类型：
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作者：
Jessica S. Purcell
我们表明，对于一个大类的双曲结和链接，我们可以确定的链接补充量的界限，从组合信息给出的链接图。具体地说，存在一个普适常数C，使得如果一个纽结或链环允许一个素数，扭曲约化图，其中至少有2个扭曲区域和每个扭曲区域至少有C个交叉，那么链环补数是双曲线的，其体积以图中扭曲区域的数量的3.3515倍为界。C最多为113。
We show that for a large class of hyperbolic knots and links, we can determine bounds on the volume of the link complement from combinatorial information given by a link diagram. Specifically, there is a universal constant C such that if a knot or link admits a prime, twist reduced diagram with at least 2 twist regions and at least C crossings per twist region, then the link complement is hyperbolic with volume bounded below by 3.3515 times the number of twist regions in the diagram. C is at most 113.