10 citations · 19 across the 20 of their papers we have counts for
22 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…
A Kuratowski-Type Classification of Critical Complexes for the 3-Sphere
Mario Eudave-Muñoz, Makoto Ozawa
We give a Kuratowski-type classification of a graph-defined class of minimal piecewise-linear obstructions to embeddability in the 3-sphere. A finite simplicial complex \(X\) is ca…
Hyperbolic knots with a large toroidal surgery
Mario Eudave-Muñoz, Masakazu Teragaito
We show an infinite family of hyperbolic knots that have an exceptional surgery producing a graph manifold containing five disjoint, and non parallel incompressible tori.
On the transient number of a knot
Mario Eudave-Muñoz, Joan Carlos Segura Aguilar
The transient number of a knot K, denoted tr(K), is the minimal number of simple arcs that have to be attached to K, in order that K can be homotoped to a trivial knot in a regular…
On non almost-fibered knots
Mario Eudave-Muñoz, Araceli Guzmán-Tristán, Enrique Ramírez-Losada
An almost-fibered knot is a knot whose complement possesses a circular thin position in which there is one and only one weakly incompressible Seifert surface and one incompressible…
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…