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Khovanov's homology for tangles and cobordisms

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

We give a fresh introduction to the Khovanov Homology theory for knots and links, with special emphasis on its extension to tangles, cobordisms and 2-knots. By staying within a world of topological pictures a little longer than in other articles on the subject, the required extension becomes essentially tautological. And then a simple application of an appropriate functor (a `TQFT') to our pictures takes them to the familiar realm of complexes of (graded) vector spaces and ordinary homological invariants.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Khovanov complexes for bipartite links

hep-th · 2026-05-25 · unverdicted · novelty 2.0

Shows that the Kauffman-Khovanov 2²-hypercube reduces to the bipartite 3-hypercube for N=2, confirming consistency of the reduction for bipartite links.

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  • Khovanov complexes for bipartite links hep-th · 2026-05-25 · unverdicted · none · ref 23 · internal anchor

    Shows that the Kauffman-Khovanov 2²-hypercube reduces to the bipartite 3-hypercube for N=2, confirming consistency of the reduction for bipartite links.