Topology Seminar: Equivariant Concordance and knot Floer homology
Speaker: Matt Stoffregen
Abstract: We study the equivariant concordance group of strongly invertible knots. Using knot Floer homology (especially the knot Floer TQFT), we introduce some new invariants of equivariant concordance. As a consequence, we can find strongly invertible slice knots whose equivariant 4-genus is arbitrarily large. This also provides a means of constructing many non-isotopic surfaces-with-boundary in 4-manifolds. This is joint work with Irving Dai and Abhishek Mallick.
Monday, October 18 at 2:30pm
CW 120, CW 120