Abstract: Plane Floer homology (PFH) is an invariant of 3-manifolds defined using abelian Yang-Mills gauge theory. In Daemi’s previous work, it was shown that PFH gave rise to several knot invariants; the strongest of which is a filtered chain complex that recovers odd Khovanov homology. There is also an equivariant aspect of PFH given by the complex conjugation action on the chain complex. In this talk, we will give a brief description of the equivariant PFH (PFH^{eq}). From PFH^{eq}, we will derive a family of knot concordance invariants that are lower bounds of the slice genus of a knot in S^3. This is a joint work with Aliakbar Daemi.
