All Known Principal Congruence Links

2019/02/11 by Mark D. Baker, Baker, Mark D., Matthias Goerner +3
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Logic, programming, and type systems #Mathematics and Applications #math.GT

paper · pdf · doi:10.48550/arxiv.1902.04426

25 pages, 39 figures; Version 2 includes the new links found by Dunfield, Obeidin and Rudd

openalex publication_date 2019/02/11 · arxiv created 2022/03/02 · arxiv updated 2022/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This report lists the link diagrams in S³ for all principal congruence link complements for which such a link diagram is known. Several unpublished link diagrams are included. Related to this, we also include one link diagram for an arithmetic regular tessellation link complement.

Cited by

• All principal congruence link groups

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