Hyperbolic, fibred links and fibre-concordances
Hyperbolic, fibred links and fibre-concordances
复制标题
双曲线、纤维链接和纤维索引
DOI：
10.1017/s0305004100062174
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发表时间：
1984
影响因子：
0.8
通讯作者：
Teruhiko Soma
中科院分区：
文献类型：
--
作者：
Teruhiko Soma
设M是一个闭的、连通的、可定向的3-流形。Row [10]，雅科and Myers [3]和Myers [7]指出，M的拓扑类型与M中的纽结理论密切相关。因此，在M中寻找具有良好性质的纽结是一个有趣的问题。亚历山大证明了M包含一个非连通环（见[9]）。Myers在[7]中证明了M包含双曲纽结，并且在[8]中证明了M中的每个链环都与双曲链环和谐。在本文中，我们考虑他的结果的简化版本。
Let M be a closed, connected, orientable 3-manifold. In Row [10], Jaco and Myers [3] and Myers [7], it was pointed out that the topological type of M is closely related to the knot theory in M. Therefore it is an interesting problem to find knots in M with nice properties. Alexander proved M contains a fibred link (see [9]). Myers proved, in [7], M contains a hyperbolic knot, and, in [8], every link in M is concordant to a hyperbolic link. In this paper we consider the fibred version of his results.