Homology of torus knots
Quantum Algebra
2022-04-20 v1 Algebraic Geometry
Geometric Topology
Representation Theory
Abstract
Using the method of Elias-Hogancamp and combinatorics of toric braids we give an explicit formula for the triply graded Khovanov-Rozansky homology of an arbitrary torus knot, thereby proving some of the conjectures of Aganagic-Shakirov, Cherednik, Gorsky-Negut and Oblomkov-Rasmussen-Shende.
Keywords
Cite
@article{arxiv.1704.07630,
title = {Homology of torus knots},
author = {Anton Mellit},
journal= {arXiv preprint arXiv:1704.07630},
year = {2022}
}