Jes'us Rodr'iguez-Viorato

activity

20162020

collaborators

5 papers

math.GN2020

String representation of trivalent 2-stratifolds with trivial fundamental group

Myriam Hernández-Ketchul, Jesús Rodríguez-Viorato

We give a Python program that is capable to compute and print all the distinct trivalent 2-stratifold graphs up to $N$ white vertices with trivial fundamental group. Our algorithm…

math.GT2020

The existence of a transverse universal knot

Jesús Rodríguez-Viorato

We prove that there is a knot $K$ transverse to $ξ_{s t d}$ , the tight contact structure of $S^{3}$ , such that every contact 3-manifold $(M, ξ)$ can be obtained as a contact covering b…

math.GT2019

Computing Genera of Satellite Tunnel Number One Knots and Torti-rational Knots

Mario Eudave-Muñoz, Fabiola Manjarrez-Gutiérrez, Enrique Ramírez-Losada +1

The genus of satellite tunnel number one knots and torti-rational knots is computed using the tools introduced by Floyd and Hatcher. An implementation of an algorithm is given to c…

math.GT2016

Coverings of torus knots in $S^{2} \times S^{1}$ and universals

Víctor Núñez, Enrique Ramírez-Losada, Jesús Rodríguez-Viorato

Let $t_{α, β} \subset S^{2} \times S^{1}$ be an ordinary fiber of a Seifert fibering of $S^{2} \times S^{1}$ with two exceptional fibers of order $α$ . We show that any Seifert manifold with Eu…

math.GT2016

Alternating Montesinos knots and Conjecture $Z$

Jesús Rodríguez-Viorato

Conjecture $Z$ is a knot theoretical equivalent form of the Kervaire Conjecture. We say that a knot have property $Z$ if it satisfies Conjecture $Z$ for…

String representation of trivalent 2-stratifolds with trivial fundamental group

The existence of a transverse universal knot

Computing Genera of Satellite Tunnel Number One Knots and Torti-rational Knots

Coverings of torus knots in S2×S1 and universals

Alternating Montesinos knots and Conjecture Z

Coverings of torus knots in $S^{2} \times S^{1}$ and universals

Alternating Montesinos knots and Conjecture $Z$