Ribbon concordance and knot Floer homology

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Ian Zemke, Princeton University

A ribbon concordance is a concordance with only index 0 and1 handles. In this talk, we will outline a proof that the map on knotFloer homology induced by a ribbon concordance is injective, anddescribe some topological applications. We will then describe somefurther applications to Heegaard Floer invariants of surfaces in4-manifolds. Parts of this talk are joint with Andras Juhasz, MaggieMiller and Adam Levine.