Affiliation:
1. Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan
Abstract
We give two criteria of links concerning a band surgery: The first one is a condition on the determinants of links which are related by a band surgery using Nakanishi’s criterion on knots with Gordian distance one. The second one is a criterion on knots with [Formula: see text]-Gordian distance two by using a special value of the Jones polynomial, where an [Formula: see text]-move is a band surgery preserving a component number. Then, we give an improved table of [Formula: see text]-Gordian distances between knots with up to seven crossings, where we add Zeković’s result.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
9 articles.
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