On stable sl3-homology of torus knots
Geometric Topology
2018-10-16 v1 Commutative Algebra
Quantum Algebra
Representation Theory
Abstract
The stable Khovanov-Rozansky homology of torus knots has been conjecturally described as the Koszul homology of an explicit non-regular sequence of polynomials. We verify this conjecture against newly available computational data for sl(3)-homology. Special attention is paid to torsion. In addition, explicit conjectural formulae are given for the sl(N)-homology of (3,m)-torus knots for all N and m, which are motivated by higher categorified Jones-Wenzl projectors. Structurally similar formulae are proven for Heegard-Floer homology.
Keywords
Cite
@article{arxiv.1404.0623,
title = {On stable sl3-homology of torus knots},
author = {Eugene Gorsky and Lukas Lewark},
journal= {arXiv preprint arXiv:1404.0623},
year = {2018}
}
Comments
16 pages, 3 tables