1 citations · 2 across the 5 of their papers we have counts for
8 papers
On embeddings of -string tangles into the unknot, the unlink and split links
João M. Nogueira, António Salgueiro
In this paper we study further when tangles embed into the unknot, the unlink or a split link. In particular, we study obstructions to these properties through geometric characteri…
On unknotting tunnel systems of satellite chain links
Darlan Girão, João M. Nogueira, António Salgueiro
We prove that the tunnel number of a satellite chain link with a number of components higher than or equal to twice the bridge number of the companion is as small as possible among…
Cycle convexity and the tunnel number of links
Júlio Araújo, Victor Campos, Darlan Girão +3
In this work, we introduce a new graph convexity, that we call Cycle Convexity, motivated by related notions in Knot Theory. For a graph , define the interval function in…
On links minimizing the tunnel number
Darlan Girão, João M. Nogueira, António Salgueiro
We show a combinatorial argument in the diagram of large class of links, including satellite and hyperbolic links, where for each of which the tunnel number is the minimum possible…
Non-isometric hyperbolic 3-orbifolds with the same topological type and volume
Jérôme Los, Luisa Paoluzzi, Antonio Salgueiro
We construct pairs of non-isometric hyperbolic 3-orbifolds with the same topological type and volume. Topologically these orbifolds are mapping tori of pseudo-Anosov maps of the su…
A note on covers of fibred hyperbolic manifolds
Jérôme Los, Luisa Paoluzzi, António Salgueiro
For each surface of genus we construct pairs of conjugate pseudo-Anosov maps, and , and two non-equivalent covers , , s…