q,t-Catalan numbers and knot homology
Algebraic Geometry
2012-08-22 v3 Combinatorics
Geometric Topology
Abstract
We propose an algebraic model of the conjectural triply graded homology of Gukov, Dunfield and Rasmussen for some torus knots. It turns out to be related to the q,t-Catalan numbers of Garsia and Haiman.
Cite
@article{arxiv.1003.0916,
title = {q,t-Catalan numbers and knot homology},
author = {E. Gorsky},
journal= {arXiv preprint arXiv:1003.0916},
year = {2012}
}
Comments
Revised version, more examples added