Geometry of alternating links on surfaces
Geometry of alternating links on surfaces
复制标题
表面上交替链接的几何形状
DOI：
10.1090/tran/7929
复制
发表时间：
2017
影响因子：
1.3
通讯作者：
Jessica S. Purcell
中科院分区：
文献类型：
--
作者：
J. Howie;Jessica S. Purcell
我们考虑在紧凑的3流形中嵌入的表面上交替的链接。我们证明，在温和的限制下，环的补分解成更简单的片段，推广了Menasco交替环的多面体分解。我们用它证明了关于交替连杆广义双曲几何的各种事实，包括第一作者所描述的弱广义交替连杆。我们给出了图解属性来确定这些链接何时是双曲的，找到它们的棋盘表面的几何形状，绑定体积，并排除异常的Dehn填充。
We consider links that are alternating on surfaces embedded in a compact 3-manifold. We show that under mild restrictions, the complement of the link decomposes into simpler pieces, generalising the polyhedral decomposition of alternating links of Menasco. We use this to prove various facts about the hyperbolic geometry of generalisations of alternating links, including weakly generalised alternating links described by the first author. We give diagrammatical properties that determine when such links are hyperbolic, find the geometry of their checkerboard surfaces, bound volume, and exclude exceptional Dehn fillings.
影响因子：
0.7
作者：
.Ilker S. Yuce-Ilker-S.-Yuce-102800584
通讯作者：
.Ilker S. Yuce-Ilker-S.-Yuce-102800584
加厚表面链接的双曲性
影响因子：
0.6
作者：
Adams, C.;Albors-Riera, C.;Haddock, B.;Li, Z.;Nishida, D.;Reinoso, B.;Wang, L.
通讯作者：
Wang, L.