Knot concordance and 4-manifolds

Knot concordance and 4-manifolds

Frontiers In Mathematics Seminar

Lisa Piccirillo (Brandeis University / Massachusetts Institute of Technology)

Wednesday, October 23, 2019 -
3:15pm to 4:15pm
Physics 119

There is a rich interplay between the fields of knot theory and 3- and 4-manifold topology. In this talk, I will highlight some historical and recent connections between knot concordance (a weak notion of equivalence for knots) and the study of 4-manifolds, with a particular emphasis on applications of knot concordance to the construction and detection of small 4-manifolds which admit multiple smooth structures. I will also discuss a new method for using 4-manifolds to study knot concordance, and use it to show that the Conway knot is not slice. Reception to follow at 4:30.

Last updated: 2020/08/15 - 2:41pm