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Common stabilizations of Heegaard splittings of link exteriors
Authors:Jung Hoon Lee  Gyo Taek Jin  
Affiliation:

Department of Mathematics, KAIST, Daejeon, 305-701, Republic of Korea

Abstract:We give 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 and show that every 2-bridge link has such a pair of unknotting tunnels.
Keywords:Heegaard splitting   Stabilization   Tunnel number   Link exterior
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