Eugene Gorsky, Alexei Oblomkov, Jacob Rasmussen
Abstract
We conjecture that the stable Khovanov homology of torus knots can be described as the Koszul homology of an explicit irregular sequence of quadratic polynomials. The corresponding Poincaré series turns out to be related to the Rogers–Ramanujan identity.
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We conjecture that the stable Khovanov homology of torus knots can be described as the Koszul homology of an explicit irregular sequence of quadratic polynomials. The corresponding Poincaré series turns out to be related to the Rogers–Ramanujan identity.
Key concepts: Mathematics, Khovanov homology, Torus, Conjecture, Pure mathematics, Homology (biology), Ramanujan's sum, Combinatorics