In some recent work with Kronheimer we have carried over a version of Juhasz' Heegaard Floer Homology for sutured three manifolds to Instanton Floer Homology. This leads to amongst over things a streamlined proofs of property P for all knots and that symplectic manifolds have non-vanishing Donaldson invariants.

I will discuss some work in progress with Peter Kronheimer on a variant of Floer's instanton homology dealing with connections that are singular along codimension two submanifolds. As observed by Kronheimer earlier there are some interesting relations with Khovanov homology.