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The realization problem of essential surfaces in knot exteriors
Makoto Ozawa, Jesús Rodríguez-Viorato
We study compact orientable essential surfaces in knot exteriors in the 3-sphere. The genus , the number of boundary components , and the boundary slope are fundamental…
On the existence of universal links in three-manifolds
Francisco González-Acuña, Araceli Guzmán-Tristán, Jesús Rodríguez-Viorato +1
We study the existence of branched coverings between closed -manifolds, with emphasis on universal knots and links. We prove that the only closed -manifolds that admit a univ…
A bound on the number of twice-punctured tori in a knot exterior
Román Aranda, Enrique Ramírez-Losada, Jesús Rodríguez-Viorato
This paper continues a program due to Motegi regarding universal bounds for the number of non-isotopic essential -punctured tori in the complement of a hyperbolic knot in .…