The paper derives a formula for the Khovanov homology Poincaré polynomial of simple tangles and lists low-crossing examples, but the proof hinges on an unjustified zero differential.
On Khovanov’s categorification of the Jones polynomial.Algebraic & Geo- metric Topology, 2(1):337–370, 2002
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Computing Khovanov homology of tangles
The paper derives a formula for the Khovanov homology Poincaré polynomial of simple tangles and lists low-crossing examples, but the proof hinges on an unjustified zero differential.