English

All principal congruence link groups

Geometric Topology 2019-08-12 v2

Abstract

We enumerate all the principal congruence link complements in S3S^3, there by answering a question of W. Thurston. Related articles: "Technical Report: All Principal Congruence Link Groups" (arXiv:1902.04722), "All Known Principal Congruence Links" (arXiv:1902.04426).

Cite

@article{arxiv.1802.01275,
  title  = {All principal congruence link groups},
  author = {Mark D. Baker and Matthias Goerner and Alan W. Reid},
  journal= {arXiv preprint arXiv:1802.01275},
  year   = {2019}
}

Comments

7 pages, 1 table. V2: Addressing referee's comments, this article is now in announcement form, with technical details and link figures split off into separate articles

R2 v1 2026-06-23T00:10:40.811Z