most citedRational moves and tangle embeddings: (2,2)-moves as a case study

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math.GT2007

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…

math.GT2005★ 2 cited

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…