On the signature of a positive braid

We show that the signature of a positive braid link is bounded from below by one-quarter of its first Betti number. This equates to one-half of the optimal bound conjectured by Feller, who previously provided a bound of one-eighth.

Authors

Joshua Evan Greene (ORCID: https://orcid.org/0000-0001-9340-4677)
Livio Liechti (ORCID: https://orcid.org/0000-0002-8591-392X)

Publication Details

Journal: Annales Henri Lebesgue
Published: 2024-09-05
DOI: https://doi.org/10.5802/ahl.212
Primary Topic: Geometric and Algebraic Topology
Type: article
Field-Weighted Citation Impact: 0.00

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article

On the signature of a positive braid

Joshua Evan Greene, Livio Liechti

Sep 5, 2024

Annales Henri Lebesgue

Geometric and Algebraic Topology

article

On the signature of a positive braid

Joshua Evan Greene, Livio Liechti

September 5, 2024article en

Abstract

Annales Henri LebesgueVol. 7

Openalex Percentile: Top 76%

Geometric and Algebraic Topology

DOI Open Access PDF OpenAlex

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On the signature of a positive braid — Joshua Evan Greene, Livio Liechti · Annales Henri Lebesgue (2024) | TGRS Research Map | TGRS