8 citations · 9 across the 6 of their papers we have counts for
6 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…
3-manifold polynomials
José Frías, José Carlos Gómez-Larrañaga, José Luis León-Medina +1
We propose a way to derive polynomial invariants of closed, orientable -manifolds from Heegaard diagrams via cellularly embedded graphs. Given a Heegaard diagram of an irreducib…
Decompositions of three-dimensional Alexandrov spaces
Luis Atzin Franco Reyna, Fernando Galaz-García, José Carlos Gómez-Larrañaga +2
We extend basic results in -manifold topology to general three-dimensional Alexandrov spaces (or Alexandrov -spaces for short), providing a unified framework for manifold and…
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…
The number of Simply-connected Trivalent -dimensional Stratifolds
J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil
We describe a method for counting the number of -connected trivalent -stratifolds with a given number of singular curves and -manifold components.
2-stratifold spines of closed 3-manifolds
J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil
-stratifolds are a generalization of -manifolds in that there are disjoint simple closed branch curves. We obtain a list of all closed -manifolds that have a -stratifol…