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A new twist on modular links from an old perspective

Khanh Le

Algebraic & Geometric Topology 25 (2025) 4827–4838
Abstract

We show that the complement of arithmetic modular links found by Pinsky, Purcell and Rodríguez-Migueles (Pacific J. Math. 327 (2023) 337–358) is homeomorphic to the complement of augmented chain links. In particular, these link complements arise as n-fold cyclic covers of the Whitehead link complement.

Keywords
modular knots, Berge knots, chain links
Mathematical Subject Classification
Primary: 57K10, 57K32
References
Publication
Received: 13 December 2023
Revised: 17 September 2024
Accepted: 27 November 2024
Published: 20 November 2025
Authors
Khanh Le
Department of Mathematics
Rice University
Houston, TX
United States

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