activity
20052023
most citedCrosscap number two knots in with (1,1) decompositions

2 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.GT2023

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 .…

math.GT2021

On non almost-fibered knots

Mario Eudave-Muñoz, Araceli Guzmán-Tristán, Enrique Ramírez-Losada

An almost-fibered knot is a knot whose complement possesses a circular thin position in which there is one and only one weakly incompressible Seifert surface and one incompressible…

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 and universals

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

Let be an ordinary fiber of a Seifert fibering of with two exceptional fibers of order . We show that any Seifert manifold with Eu…

math.GT2013

Circular handle decompositions of free genus one knots

Fabiola Manjarrez-Gutiérrez, Víctor Núñez, Enrique Ramírez-Losada

We determine the structure of the circular handle decompositions of the family of free genus one knots. Namely, if k is a free genus one knot, then the handle number h(k)= 0, 1 or…

math.GT2005★ 2 cited

Crosscap number two knots in with (1,1) decompositions

Enrique Ramírez-Losada, Luis G. Valdez-Sánchez

M. Scharlemann has recently proved that any genus one tunnel number one knot is either a satellite or 2-bridge knot, as conjectured by H. Goda and M. Teragaito; all such knots admi…