扭曲布兰奇菲尔德配对和扭曲签名 III:应用

Pub Date : 2024-04-15 DOI:10.1017/s0017089524000077
Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
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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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