activity
20152021
most citedOn links minimizing the tunnel number

1 citations · 2 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.GT20211 cited

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…

math.GT2021

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…

math.GT20201 cited

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…

math.GT2019

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…

math.GT2016

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…

math.GT2015

Fiber surfaces from alternating states

Darlan Girão, João M. Nogueira, António Salgueiro

In this paper we define alternating Kauffman states of links and we characterize when the induced state surface is a fiber. In addition, we give a different proof of a similar theo…