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个人信息Personal Information
教授
硕士生导师
性别：男
毕业院校：美国加州大学洛杉矶分校
学位：博士
所在单位：数学科学学院
学科：基础数学
电子邮箱：yangzhq@dlut.edu.cn
A note on the Gordian complexes of some local moves on knots
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论文类型：期刊论文
发表时间：2018-08-01
发表刊物：JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
收录刊物：SCIE
卷号：27
期号：9,SI
ISSN号：0218-2165
关键字：Pass-move; (sic)-move; (sic)over-bar-move; H(n)-move; Gordian distance; Gordian complex
摘要：In this paper, the <((sic))over bar>-move is defined. We show that for any knot K-0, there exists an infinite family of knots {K-0, K-1, . . .} such that the Gordian distance d(K-i, K-j) = 1 and pass-move-Gordian distance d(p)(K-i, K-j) = 1 for any i not equal j. We also show that there is another infinite family of knots {K-0', K-1', . . .} (where K-0' = K-0) such that the <((sic))over bar>-move-Gordian distance d(<((sic))over bar>)-(K-i', K-j') = 1 and H(n)-Gordian distance d(H(n)) (K-i', K-j') = 1 for any i not equal j and all n >= 2.