Khovanov homology and invariants of 4-manifolds

Roughly twenty years ago, two homology theories for knots and links were developed, which can be seen as categorifications of the Alexander polynomial and the Jones polynomial. Knot Floer homology is derived from the Heegaard--Floer 3-manifold invariants, while Khovanov homology has its origin in the (higher) representation theory of quantum groups. It is a natural question, whether Khovanov homology also has an associated manifold invariant. In this talk I will sketch the construction of a candidate ``Khovanov homology for 4-manifolds''.  

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Contact: Aru Ray and Tobias Barthel.