Invariants of 4-manifolds from Khovanov-Rozansky link homology

Abstract

We use Khovanov-Rozansky gl(N) link homology to define invariants of oriented smooth 4-manifolds, as skein modules constructed from certain 4-categories with well-behaved duals. The technical heart of this construction is a proof of the sweep-around property, which makes these link homologies well defined in the 3-sphere.

34 pages, many figures, v5: published in Geometry & Topology, page numbers differ

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Cited by in corpus (2)

• A mixed invariant of non-orientable surfaces in equivariant Khovanov homology
• gl(2) foams and the Khovanov homotopy type