6 papers
Lorenz Links that are not Horseshoe and Rossler Links
Thiago de Paiva, Yi Liu
We compare the periodic orbit types of the Lorenz, horseshoe, and Rössler systems through their associated templates. Lorenz links are carried by the Lorenz template, while horsesh…
Satellite Links with Multiple Full Twists and Single-Twist Companions
Thiago de Paiva, Yi Liu, Paolo Piccione
We study the relationship between the number of full twists in positive braid representations of satellite links and their companion links. We construct infinitely many satellite l…
Essential tori associated with links of mixed singularities
Raimundo N. Araújo dos Santos, Benjamin Bode, Thiago de Paiva +1
We establish a direct connection between the analytic data of weakly isolated mixed singularities and the topology of their associated links. More precisely, we prove that the exis…
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…
Lorenz links, T-links, Minimal Braids, Positive braids with a full twist, and Geometric Types
Thiago de Paiva
Lorenz links and T-links are equivalent families by the work of Birman--Kofman. Lorenz links arise as periodic orbits of the Lorenz system, whereas T-links are closures of certain…
Geometry of Generalized Augmented Braids
Thiago de Paiva
A generalized augmented link of a knot is a link obtained by adding trivial components to that bound -punctured disks. In this paper we consider that is given by a p…