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arxiv: 0901.3956 · v3 · submitted 2009-01-26 · 🧮 math.GT · math.CO

Khovanov homology and words

classification 🧮 math.GT math.CO
keywords homologyinvariantnanowordsturaevbigradedconcernedexamplesgeneralization
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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.

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