16 citations · 16 across the 6 of their papers we have counts for
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The Conway polynomials and Self Delta-equivalence of pretzel links
Yasutaka Nakanishi, Tetsuo Shibuya, Tatsuya Tsukamoto
In this paper, we study the self delta-equivalence of pretzel links. If the number of components is 2, then we know the complete invariants in terms of the Conway polynomial for cl…
Alexander polynomials of simple-ribbon knots
Kengo Kishimoto, Tetsuo Shibuya, Tatsuya Tsukamoto +1
In a previous paper, we introduced special types of fusions, so called simple-ribbon fusions on links. A knot obtained from the trivial knot by a finite sequence of simple-ribbon f…
Homotopy, Delta-equivalence and concordance for knots in the complement of a trivial link
Thomas Fleming, Tetsuo Shibuya, Tatsuya Tsukamoto +1
Link-homotopy and self Delta-equivalence are equivalence relations on links. It was shown by J. Milnor (resp. the last author) that Milnor invariants determine whether or not a lin…
The almost alternating diagrams of the trivial knot
Tatsuya Tsukamoto
Bankwitz characterized an alternating diagram representing the trivial knot. A non-alternating diagram is called almost alternating if one crossing change makes the diagram alterna…
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…
The fourth skein module and the Montesinos-Nakanishi conjecture for 3-algebraic links
Jozef H. Przytycki, Tatsuya Tsukamoto
We study the concept of the fourth skein module of 3-manifolds, that is a skein module based on the skein relation b_0L_0 + b_1L_1 + b_2L_2 + b_3L_3 = 0 and a framing relation L^{(…