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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2010; 47(1): 113-122

Printed January 1, 2010

https://doi.org/10.4134/JKMS.2010.47.1.113

Copyright © The Korean Mathematical Society.

Common stabilizations of Heegaard splittings of knot exteriors

Jung Hoon Lee

Korea Institute for Advanced Study

Abstract

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In [4], we gave a condition for a pair of unknotting tunnels of a non-trivial tunnel number one link to give a genus three Heegaard splitting of the link complement. In this paper we prove the corresponding result for tunnel number one knots.

Keywords: Heegaard splitting, stabilization, unknotting tunnel

MSC numbers: 57M25, 57M50

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