17 citations
- Rice UniversityUS18 papers
- Istanbul UniversityTR17 papers
- Ruđer Bošković InstituteHR17 papers
- California Institute of TechnologyUS16 papers
- Carnegie Mellon UniversityUS16 papers
- Kyungpook National UniversityKR16 papers
- A. Alikhanyan National LaboratoryAM15 papers
- AGH University of KrakowPL15 papers
- American University of the Middle EastKW15 papers
- Baylor UniversityUS15 papers
- Beihang UniversityCN15 papers
- Benemérita Universidad Autónoma de PueblaMX15 papers
9 papers · 1 filter
Conway type invariants of links and Kauffman's method
Jozef H. Przytycki
In this chapter (Chapter III) we introduce the concept of Conway algebras (the notion related to entropic magmas) and describe invariants of links yielded by (partial) Conway algeb…
A note on the Lickorish-Millett-Turaev formula for the Kauffman polynomial
Jozef H. Przytycki
We use the idea of expressing a nonoriented link as a sum of all oriented links corresponding to the link to present a short proof of the Lickorish-Millett-Turaev formula for the K…
From Goeritz matrices to quasi-alternating links
Jozef H. Przytycki
Knot Theory is currently a very broad field. Even a long survey can only cover a narrow area. Here we concentrate on the path from Goeritz matrices to quasi-alternating links. On t…
Survey on recent invariants on classical knot theory
Jozef H. Przytycki
The survey we are presenting is over 22 years old but it has still some ideas which where never published (except in Polish). This survey is the base of the third Chapter of my boo…
On the first group of the chromatic cohomology of graphs
Milena D. Pabiniak, Jozef H. Przytycki, Radmila Sazdanovic
The algebra of truncated polynomials A_m=Z[x]/(x^m) plays an important role in the theory of Khovanov and Khovanov-Rozansky homology of links. We have demonstrated that Hochschild…
Compactness of the space of left orders
Malgorzata A. Dabkowska, Mieczyslaw K. Dabkowski, Valentina S. Harizanov +2
A left order on a magma (e.g., semigroup) is a total order of its elements that is left invariant under the magma operation. A natural topology can be introduced on the set of all…