q,t-Catalan numbers and knot homology

Details q,t-Catalan numbers and knot homology q,t-Catalan numbers and knot homology

2010-03-03

arxiv.org/abs/1003.0916v3

Mathematics

Algebraic Geometry

Revised version, more examples added

Scientific paper

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.

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