On stable Khovanov homology of torus knots

Abstract

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.

28 pages

References in corpus (2)

• Some differentials on Khovanov-Rozansky homology
• Torsion in Khovanov homology of semi-adequate links

Cited by in corpus (5)

• Introduction to Khovanov Homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants
• On colored HOMFLY polynomials for twist knots
• Equations on knot polynomials and 3d/5d duality
• Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial
• On matrix-model approach to simplified Khovanov-Rozansky calculus