Signature spectrum of positive braids

IF 0.5 4区数学 Q3 MATHEMATICS

Bulletin De La Societe Mathematique De France Pub Date : 2023-06-16 DOI:10.24033/bsmf.2865

Sebastian Baader

引用次数: 0

Abstract

We derive a lower bound for all Levine-Tristram signatures of positive braid links, linear in terms of the first Betti number. As a consequence, we obtain upper and lower bounds on the ratio of fixed pairs of Levine-Tristram signature invariants, valid uniformly on all positive braid monoids.

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阳性辫子的特征谱

我们导出了所有正编织链的Levine-Tristram签名的下界，它们与第一个Betti数呈线性关系。因此，我们得到了Levine-Tristram签名不变量的固定对之比的上界和下界，这些不变量在所有正编织模群上一致有效。

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

Bulletin De La Societe Mathematique De France 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin de la Société Mathématique de France was founded in 1873, and it has published works by some of the most prestigious mathematicians, including for example H. Poincaré, E. Borel, E. Cartan, A. Grothendieck and J. Leray. It continues to be a journal of the highest mathematical quality, using a rigorous refereeing process, as well as a discerning selection procedure. Its editorial board members have diverse specializations in mathematics, ensuring that articles in all areas of mathematics are considered. Promising work by young authors is encouraged.