2 citations · 2 across the 4 of their papers we have counts for
4 papers
5-move equivalence classes of links and their algebraic invariants
Mieczyslaw K. Dabkowski, Makiko Ishiwata, Jozef H. Przytycki
We start a systematic analysis of links up to 5-move equivalence. Our motivation is to develop tools which later can be used to study skein modules based on the skein relation bein…
Rational moves and tangle embeddings: (2,2)-moves as a case study
Mieczyslaw K. Dabkowski, Makiko Ishiwata, Jozef H. Przytycki
We classify 3-braids up to (2,2)-move equivalence and in particular we show how to adjust the Harikae-Nakanishi-Uchida conjecture so it holds for closed 3-braids. As important step…
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…
Branched covers of tangles in three-balls
Makiko Ishiwata, Józef H. Przytycki, Akira Yasuhara
We give an algorithm for a surgery description of a -fold cyclic branched cover of branched along a tangle. We generalize constructions of Montesinos and Akbulut-Kirby.