Khovanov homology and words

Abstract

This paper is concerned with nanowords, a generalization of links, introduced by Turaev. It is shown that the system of bigraded homology groups is an invariant of nanowords by introducing a new notion. This paper gives two examples which show the independence of this invariant from some of Turaev's homotopy invariants.

39 pages; 2 figure

References in corpus (2)

• Five Lectures on Khovanov Homology
• On Reidemeister invariance of the Khovanov homology group of the Jones polynomial

Cited by in corpus (2)

• Remarks on the categorification of colored Jones polynomials
• Spectral sequences of colored Jones polynomials, colored Rasmussen invariants and nanophrases