All Known Principal Congruence Links
Mark D. Baker, Matthias Goerner, Alan W. Reid
TL;DR
This paper catalogs known link diagrams in three-dimensional space for all principal congruence link complements, including unpublished diagrams and one for an arithmetic regular tessellation link complement.
Contribution
It provides a comprehensive list of known link diagrams for principal congruence link complements, including new unpublished diagrams and a related tessellation link.
Findings
Includes all known principal congruence link diagrams in S^3.
Adds several unpublished link diagrams to the existing catalog.
Provides a link diagram for an arithmetic regular tessellation link complement.
Abstract
This report lists the link diagrams in S^3 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 Several unpublished link diagrams are included.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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematics and Applications · Logic, programming, and type systems