On the computation of torus link homology

Abstract

We introduce a new method for computing triply graded link homology, which is particularly well-adapted to torus links. Our main application is to the (n,n)-torus links, for which we give an exact answer for all n. In several cases, our computations verify conjectures of Gorsky et al relating homology of torus links with Hilbert schemes.

References in corpus (1)

• Categorified Young symmetrizers and stable homology of torus links

Cited by in corpus (12)

• Homology of torus knots
• Hilbert schemes and $y$-ification of Khovanov-Rozansky homology
• Khovanov polynomials for satellites and asymptotic adjoint polynomials
• The action of full twist on the superpolynomial for torus knots
• Colored Khovanov-Rozansky homology for infinite braids
• Curved Rickard complexes and link homologies
• Structures in HOMFLY-PT homology
• Affine Springer Fibers and Generalized Haiman Ideals
• A combinatorial formula for the nabla operator
• Some homological properties of category $\mathcal{O}$, VII
• The Hilb-vs-Quot Conjecture
• Superpolynomials of algebraic links