Geometry & Topology Monographs 2 (1999), Proceedings of the Kirbyfest, paper no. 14, pages 259-290.

Classification of unknotting tunnels for two bridge knots

Tsuyoshi Kobayashi

Abstract. In this paper, we show that any unknotting tunnel for a two bridge knot is isotopic to either one of known ones. This together with Morimoto--Sakuma's result gives the complete classification of unknotting tunnels for two bridge knots up to isotopies and homeomorphisms.

Keywords. Two bridge knots, unknotting tunnel

AMS subject classification. Primary: 57M25. Secondary: 57M05.

E-print: arXiv:math.GT/9911254

Submitted: 28 December 1998. (Revised: 30 May 1999.) Published: 20 November 1999.

Notes on file formats

Tsuyoshi Kobayashi
Department of Mathematics, Nara Women's University
Kita-Uoya Nishimachi, Nara 630, JAPAN
Email: tsuyoshi@cc.nara-wu.ac.jp

GT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.