5 papers
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…
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…
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…
Generalised T-links Represent All Links in the 3-Sphere
Thiago de Paiva, Connie On Yu Hui, José Andrés RodrÃguez 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…
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…