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Classification of unknotting tunnels for two bridge knots
Tsuyoshi Kobayashi
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Geometry & Topology Monographs 2
(1999) 259–290
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Abstract
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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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Keywords
two bridge knots, unknotting tunnel
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Mathematical Subject Classification
Primary: 57M25
Secondary: 57M05
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Publication
Received: 28 December 1998
Revised: 30 May 1999
Published: 20 November 1999
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