Cusp volumes of alternating knots

Cusp volumes of alternating knots
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交替结的尖点体积

DOI:
10.2140/gt.2016.20.2053
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发表时间:
2014
期刊:
arXiv: Geometric Topology
影响因子:
--
通讯作者:
Jessica S. Purcell
Jessica S. Purcell
中科院分区:
--
文献类型:
--
作者:
M. Lackenby;Jessica S. Purcell

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我们证明,双曲交替结的尖点体积可以根据结交替图的扭曲数上下界定。这导致了对斜坡长度的图解估计,并且在 Dehn 手术中有一些应用。另一个结果是双曲交替结的尖点密度存在通用下界。
We show that the cusp volume of a hyperbolic alternating knot can be bounded above and below in terms of the twist number of an alternating diagram of the knot. This leads to diagrammatic estimates on lengths of slopes, and has some applications to Dehn surgery. Another consequence is that there is a universal lower bound on the cusp density of hyperbolic alternating knots.
纤维三流管的尖点几何形状
DOI: 10.1353/ajm.2014.0012
发表时间: 2014
影响因子: 1.7
作者:
Futer D
通讯作者: Futer D