Flowlines transverse to knot and link fibrations
Flowlines transverse to knot and link fibrations
复制标题
流线横向于结节和链接纤维
DOI：
10.2140/pjm.2004.217.61
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发表时间：
2004
影响因子：
0.6
通讯作者：
E. Kin
中科院分区：
文献类型：
--
作者：
R. Ghrist;E. Kin
如果S 1 上的纤维互补，则S 3 中的结或链接是纤维化的，这些纤维跨越表面。我们关注那些具有以下属性的纤维结和链接：横向于纤维的每个矢量场都拥有 S 3 中所有可能的结和链接类型的闭合流线。我们的主要结果是一大类纤维结和链节具有这种特性，包括所有纤维非环面 2 桥结。一般来说，充分条件包括伪阿诺索夫型单峰图和足够高的对称性。
A knot or link in S 3 is fibred if the complement fibres over S 1 , the fibres being spanning surfaces. We focus on those fibred knots and links which have the following property: every vector field transverse to the fibres possesses closed flow lines of all possible knot and link types in S 3 . Our main result is that a large class of fibred knots and links has this property, including all fibred nontorus 2-bridge knots. In general, sufficient conditions include a pseudo-Anosov type monodromy map and a sufficiently high degree of symmetry.