q, t-Catalan numbers and knot homology

被引：31
|
作者：
Gorsky, E. [1 ]
机构：
[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
来源：
ZETA FUNCTIONS IN ALGEBRA AND GEOMETRY | 2012年 / 566卷
关键词：
Torus knots; Khovanov homology; q; t-Catalan numbers; HOLOMORPHIC DISKS; MATRIX FACTORIZATIONS; FLOER HOMOLOGY; LINK HOMOLOGY; INVARIANTS;
D O I：
10.1090/conm/566/11222
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose an algebraic model of the conjectural triply graded homology of S. Gukov, N. Dunfield and J. Rasmussen for some torus knots. It turns out to be related to the q,t-Catalan numbers of A. Garsia and M. Haiman.
引用
收藏
页码：213 / 232
页数：20
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