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7 papers · 2 filters
Burnside kei
Maciej Niebrzydowski, Jozef H. Przytycki
This paper is motivated by a general question: for which values of k and n is the universal Burnside kei of k generators and Kei "exponent" n, , finite? It is known (s…
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…
Braids, Transversal links and the Khovanov-Rozansky Theory
Hao Wu
We establish some inequalities about the Khovanov-Rozansky cohomologies of braids. These give new upper bounds of the self-linking numbers of transversal links in standard contact…
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…
Braid Family Representatives
Slavik Jablan, Radmila Sazdanovic
After defining reduced minimum braid word and criteria for a braid family representative, different braid family representatives are derived, and a correspondence between them and…
The coefficients of the HOMFLYPT and the Kauffman polynomials are pointwise limits of Vassiliev invariants
Laure Helme-Guizon
The Vassiliev conjecture states that the Vassiliev invariants are dense in the space of all numerical link invariants in the sense that any link invariant is a pointwise limit of V…