Classification of unknotting tunnels for two bridge knots

Details Classification of unknotting tunnels for two bridge knots Classification of unknotting tunnels for two bridge knots

1999-11-20

arxiv.org/abs/math/9911254v1

Geom. Topol. Monogr. 2 (1999), 259-290

Mathematics

Geometric Topology

32 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper14.abs.html

Scientific paper

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.

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