The second coefficient of the Alexander polynomial as a satellite obstruction
Year: 2025
Type: article
Abstract: A set 𝒫 of links is introduced, containing positive braid links as well as arborescent positive Hopf plumbings. It is shown that for links in 𝒫 , the leading and the second coefficient of the Alexander polynomial have opposite sign. It follows that certain satellite links, such as ( n , 1 ) -cables, are not in 𝒫 .
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.694
Author: Lukas Lewark
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408199349