1 citations · 1 across the 4 of their papers we have counts for
5 papers
Perfect discrete Morse functions on Stratifoldds
Jesus Liceaga-Martinez, Jesús Rodríguez-Viorato, José Carlos Gómez-Larrañaga
In this paper, we study the computation of optimal discrete Morse functions on stratifolds. In particular, we present an algorithm that efficiently computes such functions for a br…
The realization problem of essential surfaces in knot exteriors
Makoto Ozawa, Jesús Rodríguez-Viorato
We study compact orientable essential surfaces in knot exteriors in the 3-sphere. The genus , the number of boundary components , and the boundary slope are fundamental…
On the existence of universal links in three-manifolds
Francisco González-Acuña, Araceli Guzmán-Tristán, Jesús Rodríguez-Viorato +1
We study the existence of branched coverings between closed -manifolds, with emphasis on universal knots and links. We prove that the only closed -manifolds that admit a univ…
A bound on the number of twice-punctured tori in a knot exterior
Román Aranda, Enrique Ramírez-Losada, Jesús Rodríguez-Viorato
This paper continues a program due to Motegi regarding universal bounds for the number of non-isotopic essential -punctured tori in the complement of a hyperbolic knot in .…
A persistent-homology-based turbulence index & some applications of TDA on financial markets
Miguel A. Ruiz-Ortiz, José Carlos Gómez-Larrañaga, Jesús Rodríguez-Viorato
Topological Data Analysis (TDA) is a modern approach to Data Analysis focusing on the topological features of data; it has been widely studied in recent years and used extensively…