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arxiv: 1405.7246 · v1 · pith:PYYXEID4new · submitted 2014-05-20 · 🧮 math.GT

An oriented model for Khovanov homology

classification 🧮 math.GT
keywords homologykhovanovmodelorientedactionallowingalternativebelonging
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We give an alternative presentation of Khovanov homology of links with strict functoriality result over integers. The construction uses an oriented $sl(2)$ state model allowing a natural definition of the boundary operator as twisted action of morphisms belonging to a TQFT for trivalent graphs and surfaces.

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