Flipping bridge surfaces and bounds on the stable bridge number
Flipping bridge surfaces and bounds on the stable bridge number
复制标题
翻转桥面和稳定桥数上的边界
DOI：
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发表时间：
2009
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：
Jesse Johnson;Maggy Tomova
我们证明了如果K是S3中的一个纽结，U是一个桥球，且K具有高距离和2n个穿孔，则通过一个合痕交换U所包围的两个球所需的K的扰动数为n.我们还构造了一个结与两个不同的桥梁领域与2n和2n-1桥分别为任何共同的扰动至少有3 n-4桥。我们将这两个结果推广到任何3流形中的节点的桥接曲面。57 M25、57 M27、57 M50
We show that if K is a knot in S 3 and U is a bridge sphere for K with high distance and 2n punctures, the number of perturbations of K required to interchange the two balls bounded by U via an isotopy is n. We also construct a knot with two different bridge spheres with 2n and 2n 1 bridges respectively for which any common perturbation has at least 3n 4 bridges. We generalize both of these results to bridge surfaces for knots in any 3‐manifold. 57M25, 57M27, 57M50