扭曲布兰奇菲尔德配对和扭曲签名 III：应用

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2024-04-15 DOI:10.1017/s0017089524000077

Maciej Borodzik, Anthony Conway, Wojciech Politarczyk

引用次数: 0

摘要

本文介绍了如何利用扭曲布兰奇菲尔德形式从算法上计算一个结 $K$ 的某些扭曲签名不变式。该算法在$(2,q)$-torus结上实现。此外，利用这些不变式的卫星公式，我们还展示了如何阻碍某些迭代环结的切分性。

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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Twisted Blanchfield pairings and twisted signatures III: Applications

This paper describes how to compute algorithmically certain twisted signature invariants of a knot

$K$

using twisted Blanchfield forms. An illustration of the algorithm is implemented on

$(2,q)$

-torus knots. Additionally, using satellite formulas for these invariants, we also show how to obstruct the sliceness of certain iterated torus knots.

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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.