There is a rich interplay between the fields of knot theory and 3- and 4-manifold topology. In this talk, I will describe a weak notion of equivalence for knots called concordance, and highlight some historical and recent connections between knot concordance 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.
Knot concordance and 4-manifolds
Brandeis University/Massachusetts Institute of Technology
Date & Time
June 24, 2020 | 5:30 – 7:00pm
Remote Access Only