Slopes and concordance of links
type: Item
instance of: scholarly article
title: Slopes and concordance of links
zbMATH Open document ID: 1541.57003
author: Alex Degtyarev
author: Vincent Florens
author: Ana G. Lecuona
published in: Algebraic \& Geometric Topology
publication date: 2024-05-13T00:00:00Z
review text: The \textit{slope} is an invariant of coloured links with a distinguished component. To such a link \(L\) the slope associates a function from a certain subvariety of the character variety of \( L \) to \( \mathbb{C} \cup \infty \), cf. [\textit{A. Degtyarev} et al., Contemp. Math. 772, 93--105 (2021; Zbl 1494.57006)].\N\NThis paper proves that a certain restriction of the slope is invariant under the appropriate notion of (topological) concordance for the links involved. It is also shown that for certain families of links the slope may be computed from a Seifert surface.
reviewed by: William Rushworth
Mathematics Subject Classification ID: 57K10
Mathematics Subject Classification ID: 57K14
Mathematics Subject Classification ID: 57N70
zbMATH DE Number: 7846441
zbMATH Keywords: concordance
zbMATH Keywords: links
zbMATH Keywords: \(C\)-complexes
zbMATH Keywords: slope
MaRDI profile type: Publication
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DOI: 10.2140/AGT.2024.24.1101
description: scientific article; zbMATH DE number 7846441