Factors of HOMFLY polynomials

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-05-29 DOI:10.1007/s11565-024-00530-8

Douglas Blackwell, Damiano Testa

引用次数: 0

Abstract

We study factorizations of HOMFLY polynomials of certain prime knots and oriented links. We begin with a computer analysis of prime knots with at most 12 crossings, finding 17 non-trivial factorizations. Next, we give an irreducibility criterion for HOMFLY polynomials of oriented links associated to 2-connected plane graphs.

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HOMFLY 多项式的因数

我们研究某些素结和定向链接的 HOMFLY 多项式的因式分解。我们首先对最多有 12 个交叉点的素结进行了计算机分析，发现了 17 个非难因式。接下来，我们给出了与 2 连平面图相关的定向链 HOMFLY 多项式的不可还原性准则。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.