An endomorphism of the Khovanov invariant
Abstract
We construct an endomorphism of the Khovanov invariant to prove Hthinness 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 2002
 arXiv:
 arXiv:math/0210213
 Bibcode:
 2002math.....10213L
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Quantum Algebra;
 57M27
 EPrint:
 To appear in Adv. Math.