Branched two-manifolds supporting all links
Branched two-manifolds supporting all links
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DOI：
10.1016/0040-9383(96)00006-7
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发表时间：
1997-03-01
期刊：
影响因子：
--
通讯作者：
Ghrist, RW
中科院分区：
文献类型：
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作者：
Ghrist, RW
我们解决了J. Birman和R. F. Williams关于3-流形上流的闭合轨道的结结和连接的几个猜想。我们的方法集中在分支2-流形或模板上半流的符号动力学上。通过证明“通用模板”的存在，或支持所有有限连杆的嵌入分支2流形，我们得出结论，S-3中任何流的封闭轨道集横向于8字形结补的振动包含每个（温顺）结和连杆同位素类的代表。版权所有爱思唯尔科学有限公司
We resolve several conjectures of J. Birman and R. F. Williams concerning the knotting and linking of closed orbits of flows on 3-manifolds. Our methods center on the symbolic dynamics of semiflows on branched 2-manifolds, or templates. By proving the existence of ''universal templates'', or embedded branched 2-manifolds supporting all finite links, we conclude that the set of closed orbits of any flow transverse to the fibration of the figure-eight knot complement in S-3 contains representatives of every (tame) knot and link isotopy class. Copyright (C) 1996 Elsevier Science Ltd