Multiple bridge surfaces restrict knot distance
Multiple bridge surfaces restrict knot distance
复制标题
多个桥面限制结距离
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
Maggy Tomova
中科院分区：
文献类型：
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作者：
Maggy Tomova
设M是闭的不可约可定向三维流形，K是M中的纽结，P和Q是K的桥面，K关于Q是不可去的。我们证明了Q等于P或D·K；P/2·Q·K/.如果K不是2-桥结，则即使K相对于Q是可移除的，结果仍然成立。作为推论，我们证明了如果S中的纽结相对于某个桥球的距离较大而桥数较小，则该纽结存在唯一的最小桥位置。
Suppose M is a closed irreducible orientable 3–manifold, K is a knot in M , P and Q are bridge surfaces for K and K is not removable with respect to Q . We show that either Q is equivalent to P or d.K;P / 2 .Q K/ . If K is not a 2–bridge knot, then the result holds even if K is removable with respect to Q . As a corollary we show that if a knot in S has high distance with respect to some bridge sphere and low bridge number, then the knot has a unique minimal bridge position.