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math.GT2026
Probabilistic pseudo knot theory
Ioannis Diamantis, Louis H. Kauffman
We develop the theory of \emph{probabilistic pseudo knots}, providing a framework for modeling knot diagrams with unresolved crossing information. Pseudo knot diagrams generalize c…
math.GT2025★ 2 cited
Topology and Algebra of Bonded Knots and Braids
Ioannis Diamantis, Louis H. Kauffman, Sofia Lambropoulou
In this paper we present a detailed study of \emph{bonded knots} and their related structures, integrating recent developments into a single framework. Bonded knots are classical k…