3 papers
math.GT2026
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…
math.GT2026
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…
math.GT2024
Hyperbolic and satellite Lorenz links obtained by twisting
Thiago de Paiva, Jessica S. Purcell
A Lorenz link is equivalent to a T-link, which is a positive braid built by concatenating torus braids of increasing size. When each torus braid except the largest is obtained by f…