Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Pretzel links, mutation, and the slice-ribbon conjecture

Paolo Aceto

created by daniele on 15 May 2018

16 may 2018 -- 15:30

Sala Seminari, DM, Pisa


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.

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