ALEXANDER POLYNOMIAL INVARIANTS OF TORUS KNOTS T (n; 3) AND CHEBYSHEV POLYNOMIALS

被引：0

作者：

Gavrilik, A. M. ^{[1
]}

Pavlyuk, A. M. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Bogolyubov Inst Theoret Phys, 14b,Metrolohichna Str, UA-03680 Kiev, Ukraine

来源：

UKRAINIAN JOURNAL OF PHYSICS | 2011年 / 56卷 / 07期

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D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The explicit formula, which expresses the Alexander polynomials Delta(n,3)(t) of torus knots T (n, 3) as a sum of the Alexander polynomials Delta(k,2)(t) of torus knots T (k, 2), is found. Using this result and those from our previous papers, we express the Alexander polynomials Delta(n,3)(t) through Chebyshev polynomials. The latter result is extended to general torus knots T (n, l) with n and l coprime.

引用

页码：680 / 687

页数：8

共 30 条

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