On the computation of torus link homology

By Ben Elias, Matthew Hogancamp. Compositio Mathematica, 2016

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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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/954a1653f32a529eb30a4bc94ca46aadba93fb48