Short introductory talks.
A slope p/q is characterising for a knot K in the 3-sphere if the oriented homeomorphism type of the 3-manifold obtained by performing Dehn surgery of slope p/q on K uniquely determines the knot K. In this talk, I will outline our current understanding of characterising and non-characterising slopes and discuss some new ideas for distinguishing them.
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/TopologySeminar