Modul:   MAT772  Geometrie-Seminar

Slice disks in stabilized 4-balls

Talk by Dr. Matthias Nagel

Date: 02.10.19  Time: 15.45 - 16.45  Room: ETH HG G 43

We consider knots K that bound (nullhomotopic) slice disks in a stabilized 4-ball, that is in D^4 # nS^2×S^2. We explain how to construct examples of such disks, and discuss bounds on the minimal number n of stabilizations needed. Then we compare this minimal number to the 4-genus of K.