activity
20172026
most citedHyperbolicity of links complements in Seifert fibered spaces

6 citations · 6 across the 4 of their papers we have counts for

collaborators

5 papers

math.GT2026

The Lorenz braid index and hyperbolic volume

Thiago de Paiva, Connie On Yu Hui, José Andrés Rodríguez Migueles

A result of Futer, Kalfagianni, and Purcell implies that an upper volume bound for all link complements in the 3-sphere cannot depend solely on the braid index. In this paper, we i…

math.GT2024

Geometry and topology of closed geodesics complements in the 3-torus

José Andrés Rodríguez Migueles

We show that for at most three closed geodesics with linearly independent directions, the homeomorphism type of its complement in the 3-torus is determine by the orbit of their dir…

math.GT2024

Generalised T-links Represent All Links in the 3-Sphere

Thiago de Paiva, Connie On Yu Hui, José Andrés Rodríguez Migueles

We introduce generalised T-links, a restricted extension of the widely studied families of T-links and twisted torus links, and prove that this family is universal: every link in t…

math.GT2018★ 6 cited

Hyperbolicity of links complements in Seifert fibered spaces

Tommaso Cremaschi, José Andrés Rodríguez Migueles

Let be a link in a Seifert fibered space over a hyperbolic -orbifolds that projects injectively to a filling multicurve of closed geodesics in $\mat…

math.GT2017

A lower bound for the volumes of complements of periodic geodesics

José Andrés Rodríguez Migueles

Every closed geodesic on a surface has a canonically associated knot in the projective unit tangent bundle. We study, for filling, the volume of the associated…