3 citations · 5 across the 5 of their papers we have counts for
9 papers
Structure and Representations of a Diagrammatic Non-Commutative Tangloid Algebra
Hadeel B. Albeladi, Sofia Lambropoulou
We introduce the \emph{tangloid algebra} , a diagrammatic algebra arising from the extended tangloid category $\Ti$, and its subalgebra, the \emph{braidoid algebra}…
On pure braids and bonded braids
Sofia Lambropoulou, Lucrezia Beatrice Lorenzi
In this paper we investigate the relation between the bonded braid monoid BBn and the group of pure braids , realised by an algebraic analogue of the topological tangle insert…
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…
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…
From planar to annular to toroidal bracket polynomials for pseudo knots and links
Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
Pseudo links are equivalence classes under Reidemeister-type moves of link diagrams containing crossings with undefined over and under information. In this paper, we extend the Kau…
The Theory of Doubly Periodic Pseudo Tangles
Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
Doubly periodic tangles (DP tangles) are configurations of curves embedded in the thickened plane, invariant under translations in two transversal directions. In this paper we exte…
From annular to toroidal pseudo knots
Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
In this paper, we extend the theory of planar pseudo knots to the theories of annular and toroidal pseudo knots. Pseudo knots are defined as equivalence classes under Reidemeister-…
Directional Invariants of Doubly Periodic Tangles
Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
In this paper we define novel topological invariants of doubly periodic tangles (DP tangles). DP tangles are embeddings of curves in the thickened plane with translational symmetri…
Equivalence of Doubly Periodic Tangles
Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
Doubly periodic tangles, or DP tangles, are embeddings of curves in the thickened plane that are periodically repeated in two directions. They are defined as universal covers of th…