150 citations · 522 across the 88 of their papers we have counts for
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Equivalence of two definitions of set-theoretic Yang-Baxter homology
Jozef H. Przytycki, Xiao Wang
In 2004, Carter, Elhamdadi and Saito defined a homology theory for set-theoretic Yang-Baxter operators(we will call it the "algebraic" version in this article). In 2012, Przytycki…
Invariants of links of Conway type
Jozef H. Przytycki, Pawel Traczyk
The purpose of this paper is to present a certain combinatorial method of constructing invariants of isotopy classes of oriented tame links. This arises as a generalization of the…
Homotopy type of circle graphs complexes motivated by extreme Khovanov homology
Jozef H. Przytycki, Marithania Silvero
It was proven by González-Meneses, Manchón and Silvero that the extreme Khovanov homology of a link diagram is isomorphic to the reduced (co)homology of the independence simplicial…
Topological steps toward the Homflypt skein module of the lens spaces via braids
Ioannis Diamantis, Sofia Lambropoulou, Jozef Przytycki
In this paper we work toward the Homflypt skein module of the lens spaces , , using braids. In particular, we establish the connection between $\mathca…
Skein algebras of surfaces
Jozef H. Przytycki, Adam S. Sikora
We show that the Kauffman bracket skein algebra of any oriented surface F (possibly with marked points in its boundary) has no zero divisors and that its center is generated by kno…
Strict unimodality of q-polynomials of rooted trees
Zhiyun Cheng, Sujoy Mukherjee, Jozef H. Przytycki +2
We classify rooted trees which have strictly unimodal q-polynomials (plucking polynomial). We also give criteria for a trapezoidal shape of a plucking polynomial. We generalize res…