Noncommutative Geometry Seminar

Date: August 28, 2019

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Sherry Gong, UCLA

Title: On the Kronheimer-Mrowka concordance invariant

Abstract: We will talk about Kronheimer and Mrowka’s knot concordance invariant, $s^\sharp$. We compute the invariant for various knots. Our computations reveal some unexpected phenomena, including that $s^\sharp$ differs from Rasmussen's invariant $s$, and that it is not additive under connected sums. We also generalize the definition of $s^\sharp$ to links by giving a new characterization of the invariant in terms of immersed cobordisms.