4 papers
Positive Artin Presentations
Lorena Armas-Sanabria, Mario Eudave-Muñoz, Juan Pablo Díaz-González +1
An integral framed, closed pure n-braid B' in the 3-sphere describes a positive Artin presentation, if the braid B can be put on a disk with holes such that each relation describes…
Artin Presentations of the Trivial Group and Hyperbolic Closed Pure -Braids
Lorena Armas-Sanabria, Jesús Rodríguez Viorato, E. Fanny Jasso-Hernández
We consider a special class of framed links that arise from the hexatangle. Such links are introduced in [arXiv:0807.1677], which was also analyzed when the 3-manifold obtained aft…
Satellite knots and trivializing bands
Lorena Armas-Sanabria, Mario Eudave-Muñoz
We show an infinite family of satellite knots that can be unknotted by a single band move, but such that there is no band unknotting the knots which is disjoint from the satellite…
The Hexatangle
Lorena Armas-Sanabria, Mario Eudave-Munoz
We are interested in knowing what type of manifolds are obtained by doing Dehn surgery on closed pure 3-braids in the 3-sphere. In particular, we want to determine when we get the…