Download this article
 Download this article For screen
For printing
Recent Issues

Volume 24
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Slopes and concordance of links

Alex Degtyarev, Vincent Florens and Ana G Lecuona

Algebraic & Geometric Topology 24 (2024) 1101–1120
Abstract

The slope is an isotopy invariant of colored links with a distinguished component, initially introduced by the authors to describe an extra correction term in the computation of the signature of the splice. It appeared to be closely related to several classical invariants, such as the Conway potential function or the Kojima η–function (defined for two-components links). We prove that the slope is invariant under colored concordance of links. Besides, we present a formula to compute the slope in terms of C–complexes and generalized Seifert forms.

Keywords
concordance, links, $C$–complexes, slope
Mathematical Subject Classification
Primary: 57K10, 57K14, 57N70
References
Publication
Received: 20 February 2022
Revised: 18 September 2022
Accepted: 4 October 2022
Published: 12 April 2024
Authors
Alex Degtyarev
Department of Mathematics
Bilkent University
Ankara
Turkey
Vincent Florens
Labaratoire de Mathématiques et leurs Applications
Université de Pau et des Pays de l’Adour
Pau
France
Ana G Lecuona
Aix Marseille Université, CNRS, Centrale Marseille
Institut de Mathématiques de Marseille
Marseille
France
School of Mathematics and Statistics
University of Glasgow
Glasgow
United Kingdom

Open Access made possible by participating institutions via Subscribe to Open.