Alexander polynomials of alternating knots of genus two Ⅲ

In Dae Jong

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Alexander polynomials of alternating knots of genus two Ⅲ

机译：两个Ⅲ类交替结的亚历山大多项式

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摘要

In the previous paper, the author gave linear inequalities on the coefficients of the Alexander polynomials of alternating knots of genus two, which are best possible as linear inequalities on the coefficients of them. In this paper, we give infinitely many Alexander polynomials which satisfy the linear inequalities, but they are not realized by alternating knots.

机译：在前一篇论文中，作者给出了两个属的交替结的亚历山大多项式的系数的线性不等式，最有可能将其作为系数的线性不等式。在本文中，我们给出了满足线性不等式的无限多个亚历山大多项式，但它们不是通过交替结来实现的。

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来源
《Topology and its applications》 |2012年第4期|p.1007-1015|共9页
作者
In Dae Jong;
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作者单位

Faculty of Liberal Arts and Sciences, Osaka Prefecture University, 1-1 Cakuen-cho, Nakaku, Sakai, Osaka 599-8531Japan;

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原文格式 PDF
正文语种 eng
中图分类
关键词
alexander polynomial; alternating knot; stoimenow's generator;

机译：亚历山大多项式交替结stoimenow的发电机;

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专利

1. Alexander polynomials of alternating knots of genus two II [J] . Jong I.D. Journal of knot theory and its ramifications . 2010,第8期

机译：两个II类交替结的Alexander多项式
2. Alternating knots with Alexander polynomials having unexpected zeros [J] . Hirasawa Mikami, Ishikawa Katsumi, Suzuki Masaaki Topology and its applications . 2019,第FEBa15期

机译：具有意外零的Alexander多项式的交替结
3. On zeros of the Alexander polynomial of an alternating knot [J] . Lilya Lyubich, Kunio Murasugi Topology and its applications . 2012,第1期

机译：关于交替结的亚历山大多项式的零
4. Twisted L~2–Alexander–Conway Invariants for Knots [C] . Weiping Li, Weiping Zhang Nankai International Conference in Memory of Xiao-Song Lin . 2008

机译：扭曲的L〜2-Alexander-Conway不变性
5. Reidemeister torsion, twisted Alexander polynomial, the A-polynomial, and the colored Jones polynomial of some classes of knots. [D] . Huynh, Vu Quang. 2005

机译：Reidemeister扭转，扭曲的亚历山大多项式，A多项式以及某些类结的彩色琼斯多项式。
6. Comparison of knot-tying proficiency and knot characteristics for square and reversing half hitch alternating-post surgical knots in a simulated deep body cavity among novice medical students [O] . Vincent Wu, Cynthia Yeung, Edward A. Sykes, 2018

机译：新手医学生在模拟深体腔中方栓和反向半栓交替式手术后打结的打结能力和打结特性的比较
7. Alexander polynomials of alternating knots of genus two [O] . Jong In Dae 2014

机译：二类交替结的亚历山大多项式

Alexander polynomials of alternating knots of genus two Ⅲ

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