Quasifuchsian state surfaces
Quasifuchsian state surfaces
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准福克状态面
DOI：
10.1090/s0002-9947-2014-06182-5
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发表时间：
2012
影响因子：
1.3
通讯作者：
Jessica S. Purcell
中科院分区：
文献类型：
--
作者：
D. Futer;Efstratia Kalfagianni;Jessica S. Purcell
本文继续我们的研究，在[arXiv：1108.3370]中开始，满足温和的图解假设（均匀充分）的链接补充中的基本状态表面。对于双曲链接，我们表明，这些表面的几何类型的Thurston hammotomy是完全由一个简单的图论标准方面的一定脊柱的表面。对于具有A-或B-适当图的链路，曲面的几何类型也完全由链路的有色琼斯多项式的系数确定。
This paper continues our study, initiated in [arXiv:1108.3370], of essential state surfaces in link complements that satisfy a mild diagrammatic hypothesis (homogeneously adequate). For hyperbolic links, we show that the geometric type of these surfaces in the Thurston trichotomy is completely determined by a simple graph--theoretic criterion in terms of a certain spine of the surfaces. For links with A- or B-adequate diagrams, the geometric type of the surface is also completely determined by a coefficient of the colored Jones polynomial of the link.