Branched two-manifolds supporting all links

被引：37
|
作者：
Ghrist, RW [1 ]
机构：
[1] CORNELL UNIV,CTR APPL MATH,ITHACA,NY 14853
来源：
TOPOLOGY | 1997年 / 36卷 / 02期
关键词：
D O I：
10.1016/0040-9383(96)00006-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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
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页码：423 / 448
页数：26
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