An endomorphism of the Khovanov invariant

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
To appear in Adv. Math.; Brief summary of Khovanov invariant (math.QA/9908171) and previous result of the author (math.GT/0201105) added

Keywords

Geometric Topology, Quantum Algebra, 57M27

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/65287

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210213
 http://arxiv.org/abs/math/0210213

Collections

arXiv