English

All Known Principal Congruence Links

Geometric Topology 2022-03-03 v2

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 Several unpublished link diagrams are included.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.

Cite

@article{arxiv.1902.04426,
  title  = {All Known Principal Congruence Links},
  author = {Mark D. Baker and Matthias Goerner and Alan W. Reid},
  journal= {arXiv preprint arXiv:1902.04426},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-23T07:38:48.660Z