Distance of heegaard splittings of knot complements

被引：0

作者：

Tomova, Maggy ^{[1
]}

机构：

[1] Rice Univ, Dept Math, Houston, TX 77005 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2008年 / 236卷 / 01期

关键词：

knot distance; bridge surface; Heegaard splitting;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a knot in a closed orientable irreducible 3-manifold M and let P be a Heegaard splitting of the knot complement of genus at least two. Suppose Q is a bridge surface for K and let N(K) denote a regular neighborhood of K. Then either d(P) <= 2-chi(Q - N(K)), or K can be isotoped to be disjoint from Q so that after the isotopy Q is a Heegaard surface for M-N(K) that is isotopic to a possibly stabilized copy of P.

引用

页码：115 / 134

页数：20

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