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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

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