Remarks on the categorification of colored Jones polynomials

Abstract

We introduce colored Jones polynomials of nanowords and their categorification. We also prove the existence of a Khovanov-type bicomplex which has three grades.

For Section 2, the author noticed that we did not have a bicomplex that yields a new link invariant yet in this manuscript. Thus, it should be withdrawn

References in corpus (4)

• On Reidemeister invariance of the Khovanov homology group of the Jones polynomial
• Khovanov homology and words
• A bicomplex of Khovanov homology for colored Jones polynomial
• Finite type invariants of nanowords and nanophrases

Cited by in corpus (1)

• Spectral sequences of colored Jones polynomials, colored Rasmussen invariants and nanophrases