8 citations · 79 across the 49 of their papers we have counts for
5 papers · 2 filters
Some chain maps on Khovanov complexes and Reidemeister moves
Noboru Ito
We introduce some chain maps between Khovanov complexes. Each of the chain maps commutes with a chain homotopy map and a retraction maps which obtain a Reidemeister invariance of K…
A bicomplex of Khovanov homology for colored Jones polynomial
Noboru Ito
We construct a bicomplex for the categorification of the colored Jones polynomial. This work is motivated by the problem suggested by Anna Beliakova and Stephan Wehrli who discusse…
Chain homotopy maps and a universal differential for Khovanov-type homology
Noboru Ito
We give chain homotopy maps of Khovanov-type link homology of a universal differential. The universal differential, discussed by Mikhail Khovanov, Marco Mackaay, Paul Turner and Pe…
Khovanov homology and words
Tomonori Fukunaga, Noboru Ito
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 int…
On Reidemeister invariance of the Khovanov homology group of the Jones polynomial
Noboru Ito
As Oleg Viro describes in his paper, the most fundamental property of the Khovanov homology group is their invariance under Reidemeister moves. Viro constructes Khovanov complex an…