Quantum Topology Seminar
Ciprian Manolescu
Stanford University
A Rasmussen invariant for links in RP^{3}
Abstract: Asaeda-Przytycki-Sikora, Manturov, and Gabrovšek extended Khovanov homology to links in RP^{3}. I will describe a Lee-type deformation of their theory, and use it to define an analogue of Rasmussen's s-invariant in this setting. The s-invariant gives constraints on the genera of link cobordisms in the cylinder I×RP^{3}. As an application, we give examples of freely 2-periodic knots in S^{3} that are concordant but not standardly equivariantly concordant. The talk is based on joint work with Michael Willis.
Thursday May 4, 2023 at 12:00 PM in Zoom