Download this article
 Download this article For screen
For printing
Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Arithmetic modular links

Tali Pinsky, Jessica S. Purcell and José Andrés Rodríguez-Migueles

Vol. 327 (2023), No. 2, 337–358
Abstract

We construct a sequence of geodesics on the modular surface such that the complements of the canonical lifts to the unit tangent bundle are arithmetic 3-manifolds.

Keywords
arithmetic 3-manifolds, modular surface, closed geodesics
Mathematical Subject Classification
Primary: 57K32
Secondary: 11S20
Milestones
Received: 5 September 2023
Revised: 26 January 2024
Accepted: 31 January 2024
Published: 12 March 2024
Authors
Tali Pinsky
Department of Mathematics
Technion – Israel Institute of Technology
Haifa
Israel
Jessica S. Purcell
School of Mathematics
Monash University
Clayton VIC
Australia
José Andrés Rodríguez-Migueles
Mathematisches Institut
Universität München
München
Germany

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