24 citations · 108 across the 21 of their papers we have counts for
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math.GT2011
Bipartite knots
S. Duzhin, M. Shkolnikov
We give a solution to a part of Problem 1.60 in Kirby's list of open problems in topology thus answering in the positive the 1987 conjecture by J.Przytycki concerning the existence…
math.GT2010★ 2 cited
A formula for the HOMFLY polynomial of rational links
Sergei Duzhin, Mikhail Shkolnikov
We give an explicit formula for the HOMFLY polynomial of a rational link (in particular, a knot) in terms of a special continued fraction for the rational number that defines the g…