To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way that closed braids are isotopic if and only if their trace graphs can be related by trihedral and tetrahedral moves. For closed braids with a fixed number of strands, we recognize trace graphs up to isotopy and trihedral moves in polynomial time with respect to the braid length
A polynomial invariant of links in a solid torus is defined through an algebra $H\sb{n}({1\over2}$)....
AbstractLet Dn denote the n-punctured disk in the complex plane, where the punctures are on the real...
AbstractWe introduce the notion of a quasitoric braid and prove that all link isotopy classes are re...
To an oriented link in a solid torus we associate a trace graph in a thickened torus in such a way t...
International audienceTo an oriented link in a solid torus we associate a trace graph in a thickened...
International audienceTo an oriented link in a solid torus we associate a trace graph in a thickened...
In this survey paper we present the L–moves between braids and how they can adapt and serve for esta...
This work provides the topological background and a preliminary study for the analogue of the 2-vari...
AbstractThis brief report discusses some recent discoveries regarding Artin's braid groups, concentr...
We study braided embeddings, which is a natural generalization of closed braids in three dimensions....
Version 2: added section on Teichmueller geometry, removed section on train tracksInternational audi...
AbstractWe show that every oriented link diagram with a closed braid diagram as a sublink diagram ca...
The Jones polynomial is a special topological invariant in the field of Knot Theory. Created by Vaug...
In this paper we give new presentations of the braid groups and the pure braid groups of a closed s...
A complete solution is given to the classification problem for oriented links which are closed three...
A polynomial invariant of links in a solid torus is defined through an algebra $H\sb{n}({1\over2}$)....
AbstractLet Dn denote the n-punctured disk in the complex plane, where the punctures are on the real...
AbstractWe introduce the notion of a quasitoric braid and prove that all link isotopy classes are re...
To an oriented link in a solid torus we associate a trace graph in a thickened torus in such a way t...
International audienceTo an oriented link in a solid torus we associate a trace graph in a thickened...
International audienceTo an oriented link in a solid torus we associate a trace graph in a thickened...
In this survey paper we present the L–moves between braids and how they can adapt and serve for esta...
This work provides the topological background and a preliminary study for the analogue of the 2-vari...
AbstractThis brief report discusses some recent discoveries regarding Artin's braid groups, concentr...
We study braided embeddings, which is a natural generalization of closed braids in three dimensions....
Version 2: added section on Teichmueller geometry, removed section on train tracksInternational audi...
AbstractWe show that every oriented link diagram with a closed braid diagram as a sublink diagram ca...
The Jones polynomial is a special topological invariant in the field of Knot Theory. Created by Vaug...
In this paper we give new presentations of the braid groups and the pure braid groups of a closed s...
A complete solution is given to the classification problem for oriented links which are closed three...
A polynomial invariant of links in a solid torus is defined through an algebra $H\sb{n}({1\over2}$)....
AbstractLet Dn denote the n-punctured disk in the complex plane, where the punctures are on the real...
AbstractWe introduce the notion of a quasitoric braid and prove that all link isotopy classes are re...