3 papers
math.AT2026
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…
math.GT2026
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…
math.GT2025
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…