30 citations · 53 across the 21 of their papers we have counts for
27 papers
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…
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…
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…
From annular to toroidal knotoids and their universal bracket polynomials
Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
In this paper we study the theory of multi-knotoids in the annulus and in the torus, building up from the theory of planar knotoids to the theory of toroidal knotoids through the t…
The HOMFLYPT skein module of via braids
Ioannis Diamantis
In this paper we compute the HOMFLYPT skein module of , denoted , using braid-theoretic techniques. We extend the La…
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…