3 citations · 3 across the 4 of their papers we have counts for
6 papers
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…
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…