All principal congruence link groups

Mark D. Baker; Matthias Goerner; Alan W. Reid

doi:10.1016/j.jalgebra.2019.02.023

paper

All principal congruence link groups

arXiv:1802.01275 · doi:10.1016/j.jalgebra.2019.02.023

Abstract

We enumerate all the principal congruence link complements in $S^{3}$ , 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).

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