150 citations · 522 across the 88 of their papers we have counts for
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Symmetry of links and classification of lens spaces
Jozef H. Przytycki, Akira Yasuhara
We give a concise proof of a classification of lens spaces up to orientation-preserving homeomorphisms. The chief ingredient in our proof is a study of the Alexander polynomial of…
The fourth skein module and the Montesinos-Nakanishi conjecture for 3-algebraic links
Jozef H. Przytycki, Tatsuya Tsukamoto
We study the concept of the fourth skein module of 3-manifolds, that is a skein module based on the skein relation b_0L_0 + b_1L_1 + b_2L_2 + b_3L_3 = 0 and a framing relation L^{(…
Topological Insights from the Chinese Rings
Jozef H. Przytycki, Adam S. Sikora
L. Kauffman conjectured that a particular solution of the Chinese Rings puzzle is the simplest possible. We prove his conjecture by using low-dimensional topology and group theory.…
Surgeries on periodic links and homology of periodic 3-manifolds
Jozef H. Przytycki, Maxim V. Sokolov
We show that a closed orientable 3-manifold M admits an action of Z_p with fixed point set S^1 iff M can be obtained as the result of surgery on a p-periodic framed link L and Z_p…