3 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
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.GT2024
Crushing Surfaces of Positive Genus
Benjamin A. Burton, Thiago de Paiva, Alexander He +1
The operation of crushing a normal surface has proven to be a powerful tool in computational -manifold topology, with applications both to triangulation complexity and to algori…