2 papers
math.GT2017
On wrapping number, adequacy and the crossing number of satellite knots
Adrián Jiménez Pascual
In this work we establish the tightest lower bound up-to-date for the minimal crossing number of a satellite knot based on the minimal crossing number of the companion used to buil…
math.GT2015
On lassos and the Jones polynomial of satellite knots
Adrián Jiménez Pascual
In this master thesis, I present a new family of knots in the solid torus called lassos, and their properties. Given a knot with Alexander polynomial , I then use these…