Noboru Ito
Published 2010-08-26, updated 2017-05-10Version 3
We introduce three spectral sequences which give some expressions of colored Jones polynomials. Each spectral sequence contains a Khovanov-type homology groups. Two of them are derived from a bicomplex of the colored Jones polynomial. The other is the spectral sequence that deduces a colored Rasmussen invariant of links. We also introduce three functors between categories of nanophrases, generalizations of links, and obtain their applications using colored Jones polynomials and their categorifications.
Comments: This manuscript depends on arXiv: 1008.0956 which was withdrawn. Therefore, so it is with this manuscript
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