Scharlemann-Thompson Invariant for Knots with Unknotting Tunnels and the Distance of (1,1)-Splittings |
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| Authors: | Saito Toshio |
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| Institution: | Department of Mathematics, Graduate School of Science, Osaka University Machikaneyama 1-16, Toyonaka, Osaka 560-0043, Japan saito{at}gaia.math.wani.osaka-u.ac.jp |
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| Abstract: | Scharlemann and Thompson introduced an invariant  (K, ) Q/2Z forthe pair of a knot K in the 3-sphere and an unknotting tunnel for K. The paper studies the relationship between the invariant(K, ) of a (1,1)-knot and the distance of its (1,1)-splittingintroduced by the author. |
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