Concordance invariants from the E(-1) spectral sequence

Abstract: Many recent concordance invariants of knots come from perturbing the differential on a knot homology theory to get a complex with trivial homology but an interesting filtration. I describe the invariant coming from Rasmussen's E(-1) spectral sequence from Khovanov homology in this way, and show that it gives a bound on the nonorientable slice genus.

Mathematics

Audience: researchers in the discipline

Caltech geometry/topology seminar