Khovanov homology and words

Mathematics – Geometric Topology

Scientific paper

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39 pages; 2 figure

Scientific paper

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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