We show that the mutant 2-component pretzel links P(p,q,-q,-p) and P(p,q,-p,-q) are not concordant for any distinct odd integers p and q greater than 1. As a corollary, we obtain a proof of the slice-ribbon conjecture for 4-stranded 2-component pretzel links. In order to distinguish mutant links up to concordance we consider 3-fold branched covers and use an obstruction based on Donaldson's diagonalization theorem. This is joint work with Min Hoon Kim, JungHwan Park and Arunima Ray.
Pretzel links, mutation and the slice-ribbon conjecture
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Nom de l'orateur
Paolo Aceto
Etablissement de l'orateur
MPIM Bonn
Date et heure de l'exposé
Lieu de l'exposé
Salle 07