UNKNOTTING TUNNELS FOR P(-2,3,7)

Author:

HEATH DANIEL J.1,SONG HYUN-JONG2

Affiliation:

1. Mathematics Department, Pacific Lutheran University, Tacoma, WA 98447, USA

2. Division of Mathematical Sciences, Pukyong National University, Pusan 608-737, Korea

Abstract

There are exactly four mutually non-isotopic unknotting tunnels τi, i = 1,2,3,4 for the pretzel knot P(-2,3,7). Moreover, there are at most 3 non-stabilized genus 3 Heegaard splittings.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Braid group and leveling of a knot;Journal of Topology and Analysis;2020-11-21

2. Geodesics and Compression Bodies;Experimental Mathematics;2014-04-03

3. Dehn filling and the geometry of unknotting tunnels;Geometry & Topology;2013-07-10

4. Iterated splitting and the classification of knot tunnels;Journal of the Mathematical Society of Japan;2013-04-01

5. Tunnel one, fibered links;Pacific Journal of Mathematics;2012-10-03

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