Searching for slice alternating knots

Speaker:

Brendan Owens

Zugehörigkeit:

University of Glasgow

Datum:

Die, 18/10/2016 - 09:30 - 10:30

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on 4-manifolds and knot concordance [3]

Which alternating knots are slice? Which are ribbon? For which does the double branched cover bound a rational homology ball? Unfortunately I can't answer any of these questions. I will report on a computer search with Frank Swenton which found approximately 30,000 new examples of slice alternating knots, and discuss some related questions.