6 citations · 18 across the 12 of their papers we have counts for
17 papers · 1 filter
When the theories meet: Khovanov homology as Hochschild homology of links
Jozef H. Przytycki
We show that Khovanov homology and Hochschild homology theories share common structure. In fact they overlap: Khovanov homology of a -torus link can be interpreted as a Hoch…
Torsion in Graph Homology
Laure Helme-Guizon, Jozef H. Przytycki, Yongwu Rong
Khovanov homology for knots has generated a flurry of activity in the topology community. This paper studies the Khovanov type cohomology for graphs with a special attention to tor…
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…
Search for different links with the same Jones' type polynomials: Ideas from graph theory and statistical mechanics
Jozef H. Przytycki
We describe in this talk three methods of constructing different links with the same Jones type invariant. All three can be thought as generalizations of mutation. The first combin…
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…
From 3-moves to Lagrangian tangles and cubic skein modules
Jozef H. Przytycki
We discuss several open problems in classical Knot Theory and we develop techniques that allow us to study them: Lagrangian tangles, skein modules and Burnside groups.