KNOT HOMOLOGY OF (3, m) TORUS KNOTS

被引：0
|
作者：
Gillam, William D. [1 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2012年 / 21卷 / 08期
关键词：
Khovanov knot homology; torus knot;
D O I：
10.1142/S0218216512500721
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a direct computation of the Khovanov knot homology of the (3, m) torus knots/links. Our computation yields complete results with Z[1/2] coefficients, though we leave a slight ambiguity concerning 2-torsion when integer coefficients are used. Our computation uses only the basic long exact sequence in knot homology and Rasmussen's result on the triviality of the embedded surface invariant.
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页数：21
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