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Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots

Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots

The paper contains an essentially self-contained treatment of Khovanov homology, Khovanov–Lee homology as well as the Rasmussen invariant for virtual knots and virtual knot cobordisms which directly applies as well to classical knots and classical knot cobordisms. We give an alternate formulation for the Manturov definition [34] of Khovanov homology …