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An endomorphism of the Khovanov invariant

Eun Soo Lee
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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.

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Eun Soo Lee. 2004-10-28. An endomorphism of the Khovanov invariant. https://arxiv.org/abs/math/0210213

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