Edges of Canonical Decompositions for 2-Bridge Knots and Links |
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| Authors: | Hirotaka Akiyoshi Han Yoshida |
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| Affiliation: | (1) Graduate School of Mathematics, Kyushu University, 33, Fukuoka, 812-81, Japan;(2) Department of Electrical Engineering and Computer Science, Osaka Prefectural College of Technology, Saiwai-cho 26-12, Neyagawa Osaka, 572, Japan |
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| Abstract: | ![]()
Let L=C(a1,..., ak) be a hyperbolic 2-bridge knot or link. We give a family of arcs in S3–L which are ambient isotopic to edges of the canonical decomposition of S3–L if each  aj is sufficiently large. This result supports the conjecture that the decomposition of S3–L given by Sakuma–Weeks in [12] is the canonical one. |
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| Keywords: | Canonical decomposition unknotting tunnel 2-bridge knot and link hyperbolic 3-manifold. |
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