关于Jones多项式模素数

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2022-04-26 DOI:10.1017/S0017089523000253

Valeriano Aiello, S. Baader, Livio Ferretti

引用次数: 0

摘要

摘要我们导出了模素数$p$的结的Jones多项式密度的上界，在足够大的次数范围内：$4/p^7$。作为一个应用，我们将knot-Jones多项式分类为跨度为8的模2。

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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On the Jones polynomial modulo primes

Abstract We derive an upper bound on the density of Jones polynomials of knots modulo a prime number $p$ , within a sufficiently large degree range: $4/p^7$ . As an application, we classify knot Jones polynomials modulo two of span up to eight.

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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.