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arxiv: 1206.2226 · v2 · pith:K26UVGD6new · submitted 2012-06-11 · 🧮 math.GT · math.AC· math.AG

On stable Khovanov homology of torus knots

classification 🧮 math.GT math.ACmath.AG
keywords homologykhovanovknotsstabletorusconjecturecorrespondingdescribed
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We conjecture that the stable Khovanov homology of torus knots can be described as the Koszul homology of an explicit non-regular sequence of quadratic polynomials. The corresponding Poincare series turns out to be related to the Rogers-Ramanujan identity.

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    Constructs an action of the positive Witt algebra on categorified quantum groups for simply-laced Lie algebras, recovering the foam action in type A and inducing the current-algebra action via trace decategorification.