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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.GT2026
Algebraic and Geometric Aspects of Non-Classical Knots
Ioannis Diamantis
Non-classical knot theory refers to a family of extensions of classical knot theory in which one or more of the basic ingredients of the classical framework are modified. These mod…
math.GT2026
A HOMFLYPT-type invariant for pseudo links via a resolution in Hecke algebras
Ioannis Diamantis
Pseudo links generalize classical links by allowing crossings with missing over/under information, called pre-crossings. While the pseudo braid framework provides an algebraic desc…