31 citations · 155 across the 36 of their papers we have counts for
6 papers · 1 filter
Virtual Braids
Louis H. Kauffman, Sofia Lambropoulou
In the present paper we give a new method for converting virtual knots and links to virtual braids. Indeed the braiding method given in this paper is quite general, and applies to…
Knot theory related to generalized and cyclotomic Hecke algebras of type B
Sofia Lambropoulou
In this paper we consider all possible generalizations of the B-type Hecke algebras, namely the cyclotomic and what we call 'generalized', and we construct Markov traces on each of…
Markov traces and knot invariants related to Iwahori-Hecke algebras of type B
Meinolf Geck, Sofia Lambropoulou
In this paper we classify all Markov traces on Iwahori-Hecke algebras associated with the finite Coxeter groups of type B. We then use these traces for constructing Jones-type inva…
Knot theory in handlebodies
Reinhard Haering-Oldenburg, Sofia Lambropoulou
We consider oriented knots and links in a handlebody of genus through appropriate braid representatives in , which are elements of the braid groups . We prove a g…
Markov's theorem in 3--manifolds
Sofia Lambropoulou, Colin P. Rourke
In this paper we first give a one-move version of Markov's braid theorem for knot isotopy in that sharpens the classical theorem. Then a relative version of Markov's theorem…
Algebraic Markov equivalence for links in 3-manifolds
Sofia Lambropoulou, Colin P. Rourke
Let denote the classical braid group on strands and let the {\em mixed braid group} be the subgroup of comprising braids for which the first stran…