An infinite family of Legendrian torus knots distinguished by cube number

被引：2

作者：

McCarty, Ben ^{[1
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70817 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 01期

关键词：

Legendrian; Cube diagram; Knot;

D O I：

10.1016/j.topol.2011.08.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a knot K the cube number is a knot invariant defined to be the smallest it for which there is a cube diagram of size n for K. There is also a Legendrian version of this invariant called the Legendrian cube number. We will show that the Legendrian cube number distinguishes the Legendrian left hand torus knots with maximal Thurston-Bennequin number and maximal rotation number from the Legendrian left hand torus knots with maximal Thurston-Bennequin number and minimal rotation number. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：162 / 174

页数：13

共 43 条

[41] An infinite family of subcubic graphs with unbounded packing chromatic number
Bresar, Bostjan
Ferme, Jasmina
DISCRETE MATHEMATICS, 2018, 341 (08) : 2337 - 2342
[42] An infinite family of chiral, non-slice, non-alternating hyperbolic knots with vanishing Upsilon invariants
Teragaito, Masakazu
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2025, 31 (01):
[43] The number of spanning trees of an infinite family of outerplanar, small-world and self-similar graphs
Comellas, Francesc
Miralles, Alicia
Liu, Hongxiao
Zhang, Zhongzhi
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (12) : 2803 - 2806

← 1 2 3 4 5 →