150 citations · 522 across the 88 of their papers we have counts for
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math.CO1998★ 1 cited
Polygon dissections and Euler, Fuss, Kirkman and Cayley numbers
Jozef H. Przytycki, Adam S. Sikora
We give a short proof for a formula for the number of divisions of a convex (sn+2)-gon along non-crossing diagonals into (sj+2)-gons, where 1<=j<=n-1. In other words, we consider d…
math.GT1998★ 7 cited
Fundamentals of Kauffman bracket skein modules
Jozef H. Przytycki
Skein modules are the main objects of an algebraic topology based on knots (or position). In the same spirit as Leibniz we would call our approach "algebra situs." When looking at…
math.GT1998★ 10 cited
3-manifold invariants and periodicity of homology spheres
Patrick M. Gilmer, Joanna Kania-Bartoszynska, Jozef H. Przytycki
We show how the periodicity of a homology sphere is reflected in the Reshetikhin-Turaev-Witten invariants of the manifold. These yield a criterion for the periodicity of a homology…