An endomorphism of the Khovanov invariant

Details An endomorphism of the Khovanov invariant An endomorphism of the Khovanov invariant

2002-10-15

arxiv.org/abs/math/0210213v3

Mathematics

Geometric Topology

To appear in Adv. Math.; Brief summary of Khovanov invariant (math.QA/9908171) and previous result of the author (math.GT/0201

Scientific paper

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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