Classification of links up to self pass-move : Dedicated to Professor Shin'ichi Suzuki for his 60th birthday

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概要

• 論文の詳細を見る

• A pass-move and a \#-move are local moves on oriented links defined by L. H. Kauffman and H. Murakami respectively. Two links are self pass-equivalent (resp. self \#-equivalent) if one can be deformed into the other by pass-moves (resp. \#-moves), where none of them can occur between distinct components of the link. These relations are equivalence relations on ordered oriented links and stronger than link-homotopy defined by J. Milnor. We give two complete classifications of links with arbitrarily many components up to self pass-equivalence and up to self \#-equivalence respectively. So our classifications give subdivisions of link-homotopy classes.

• 社団法人 日本数学会の論文
• 2003-10-01

著者

• SHIBUYA Tetsuo

  Department of Surgery, Omiya Medical Association Hospital

• Yasuhara Akira

  Department Of Mathematical Sciences College Of Science And Engineering Tokyo Denki University

• Shibuya Tetsuo

  Department Of Mathematics Osaka Institute Of Technology

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