An endomorphism of the Khovanov invariant
Geometric Topology
2007-05-23 v3 Quantum Algebra
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.
Cite
@article{arxiv.math/0210213,
title = {An endomorphism of the Khovanov invariant},
author = {Eun Soo Lee},
journal= {arXiv preprint arXiv:math/0210213},
year = {2007}
}
Comments
To appear in Adv. Math.; Brief summary of Khovanov invariant (math.QA/9908171) and previous result of the author (math.GT/0201105) added