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An endomorphism of the Khovanov invariant
Authors:Eun Soo Lee
Institution:Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Abstract:We construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing phenomena of the invariants for alternating links. As a consequence, it follows that the Khovanov invariant of an oriented nonsplit alternating link is determined by its Jones polynomial, signature, and the linking numbers of its components.
Keywords:57M27
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