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.

引用

页数：21

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