Seifert表面的持久层纹
Persistent laminations from Seifert surfaces
摘要：
一个纽结K的持续层合是K的补中的一个基本层合，它在沿着K的每一个非平凡的Dehn手术之后仍然是基本的。例如，具有持久层意味着沿K通过非平凡的德恩手术得到的每个流形都具有泛覆盖R ^[3]。在本文中，我们提出了一种方法，从不可压缩的塞弗特表面的一些'父'结建立持久的叠层。例如，使用这种构造，我们目前可以为标准节点表中大约45%的节点构建持久层压;参见论文的第12页，或http：//www.math.unt.edu/tubritten/ldt/knots/knotlst1.html，以获得确切的列表。
英文摘要：
A persistent lamination for a knot K is an essential lamination in the complement of K, which remains essential after every non-trivial Dehn surgery along K. Having a persistent lamination implies, for example, that every manifold obtained by non-trivial Dehn surgery along K has universal cover R^3. In this paper we present a method for building persistent laminations for knots from an incompressible Seifert surface for some `parent' knot. Using this construction, we can, for example, currently build persistent laminations for approximately 45 percent of the knots in the standard knot tables; see page 12 of the paper, or http://www.math.unt.edu/~britten/ldt/knots/knotlst1.html, for the exact list.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
