We survey the recent progress on the slice-ribbon conjecture, which is one of the biggest conjectures in knot concordance theory. In this talk, we will give some potential counterexamples of the slice-ribbon conjecture using annulus twist, which is a certain operation on knots. Also, we will discuss related topics.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444
[3] http://www.mpim-bonn.mpg.de/de/node/6656