most citedKhovanov homology: torsion and thickness

6 citations

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3 papers

math.GT2004

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…

math.GT2004

Knot polynomials and generalized mutation

Richard P. Anstee, Jozef H. Przytycki, Dale Rolfsen

The motivation for this work was to construct a nontrivial knot with trivial Jones polynomial. Although that open problem has not yielded, the methods are useful for other problems…

math.GT2004★ 6 cited

Khovanov homology: torsion and thickness

Marta M. Asaeda, Jozef H. Przytycki

We partially solve the conjecture by A.Shumakovitch about torsion in the Khovanov homology of prime, non-split links in S^3. We give a size restriction on the Khovanov homology of…