SLOPES AND COLORED JONES POLYNOMIALS OF ADEQUATE KNOTS

被引：23

作者：

Futer, David ^{[1
]}

Kalfagianni, Efstratia ^{[2
]}

Purcell, Jessica S. ^{[3
]}

机构：

[1] Temple Univ, Dept Math, Philadelphia, PA 19122 USA

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[3] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 05期

基金：

美国国家科学基金会;

关键词：

MONTESINOS KNOTS; BOUNDARY SLOPES; SURFACES;

D O I：

10.1090/S0002-9939-2010-10617-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Garoufalidis conjectured a relation between the boundary slopes of a knot and its colored Jones polynomials. According to the conjecture, certain boundary slopes are detected by the sequence of degrees of the colored Jones polynomials. We verify this conjecture for adequate knots, a class that vastly generalizes that of alternating knots.

引用

页码：1889 / 1896

页数：8

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