Skip to main content

A ribbon obstruction for Fox-colorable knots

Posted in
Speaker: 
Alexandra Kjuchukova
Affiliation: 
University of Wisconsin-Madison/MPIM
Date: 
Tue, 2019-09-17 10:30 - 10:55
Location: 
MPIM Lecture Hall

Let $K$ be a knot with the property that $\pi_1(S^3\backslash K)$ surjects onto a dihedral group. I will define a ribbon obstruction for $K$, given a cover of $S^4$ branched along a surface embedded smoothly in $S^4$ except for one cone singularity, the cone on $K$. I will give examples of knots whose non-ribbonness can be detected by this method, and I will state a few results in the subject. Based on joint works with Cahn, Geske, Orr, Shaneson.
 

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A