2 citations · 2 across the 4 of their papers we have counts for
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Classification of -component Brunnian links up to -move
Haruko Aida Miyazawa, Akira Yasuhara
We give a classification of -component links up to -move. In order to prove this classification, we characterize Brunnian links, and have that a Brunnian link is ambient is…
Brunnian local moves of knots and Vassiliev invariants
Akira Yasuhara
K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of -move. In this paper we give another geometric condition in ter…
Signature of rotors
Mieczyslaw K. Dabkowski, Makiko Ishiwata, Jozef H. Przytycki +1
Rotors were introduced in Graph Theory by W.Tutte. The concept was adapted to Knot Theory as a generalization of mutation by Anstee, Przytycki and Rolfsen in 1987. In this paper we…
A factorization of the Conway polynomial and covering linkage invariants
Tatsuya Tsukamoto, Akira Yasuhara
J.P. Levine showed that the Conway polynomial of a link is a product of two factors: one is the Conway polynomial of a knot which is obtained from the link by banding together the…
Linking numbers in rational homology 3-spheres, cyclic branched covers and infinite cyclic covers
Jozef H. Przytycki, Akira Yasuhara
We study the linking numbers in a rational homology 3-sphere and in the infinite cyclic cover of the complement of a knot. They take values in and in ${Q}({\Bbb Z}[t,t^{-1…
Local moves on spatial graphs and finite type invariants
Kouki Taniyama, Akira Yasuhara
We define -moves for embeddings of a finite graph into the 3-sphere for each natural number . Let -equivalence denote an equivalence relation generated by -moves…