Volume 18, issue 6 (2018)
Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
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
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
A signature invariant for knotted Klein graphs

Catherine Gille and Louis-Hadrien Robert
Algebraic & Geometric Topology 18 (2018) 3719–3747
DOI: 10.2140/agt.2018.18.3719
Abstract

We define some signature invariants for a class of knotted trivalent graphs using branched covers. We relate them to classical signatures of knots and links. Finally, we explain how to compute these invariants through the example of Kinoshita’s knotted theta graph.

Keywords
knotted trivalent graphs, branched covering, signature invariants
Mathematical Subject Classification 2010
Primary: 05C10, 57M12, 57M15
Secondary: 57M25, 57M27
References
Publication
Received: 9 May 2018
Revised: 19 June 2018
Accepted: 30 June 2018
Published: 18 October 2018
Authors
Catherine Gille
Institut de Mathématiques de Jussieu-Paris Rive Gauche
CNRS
Sorbonne Université
Université Paris Diderot
Paris
France
https://webusers.imj-prg.fr/catherine.gille
Louis-Hadrien Robert
Section de Mathématiques
Université de Genève
Genève
Switzerland
http://www.unige.ch/math/folks/robert/