On alternation numbers of links |
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| Authors: | Akio Kawauchi |
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| Institution: | aDepartment of Mathematics, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan |
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| Abstract: | We construct infinitely many hyperbolic links with x-distance far from the set of (possibly, splittable) alternating links in the concordance class of every link. A sensitive result is given for the concordance class of every (possibly, split) alternating link. Our proof uses an estimate of the τ-distance by an Alexander invariant and the topological imitation theory, both established earlier by the author. |
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| Keywords: | Alternating link x-distance Alternation number Concordance Alternating Laurent polynomial Semi-classical Alexander polynomial Link |
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