100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Yohan Mandin-Hublé

Topological sliceness of knots with trivial Alexander polynomial
Friday, 8 April, 2022 - 10:30
Résumé : 

We will give a proof, due to Garoufalidis and Teichner, of the following 
result of Freedman : knots with trivial Alexander polynomial are 
topologically slice, which means that they bound an embedded locally 
flat two dimensional disk in the four-ball. The Alexander polynomial is 
a well-understood and easy-to-compute invariant of knots, whose 
definition will be recalled. The proof makes use of a more fundamental 
result of Freedman, the disk embedding theorem. We will state this 
theorem and derive the former as one of its corollaries by some 
elementary topological considerations.

Institution de l'orateur : 
Thème de recherche : 
Salle : 
logo uga logo cnrs