Classification of non-free Kleinian groups generated by two parabolic transformations-Reference-Cited by-同舟云学术

Classification of non-free Kleinian groups generated by two parabolic transformations

Published:2021-01-12 Issue:3 Volume:374 Page:1765-1814
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Akiyoshi Hirotaka,Ohshika Ken’ichi,Parker John,Sakuma Makoto,Yoshida Han

Abstract

We give a full proof to Agol’s announcement on the classification of non-free Kleinian groups generated by two parabolic transformations.

Funder

Japan Society for the Promotion of Science

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2021-374-03/S0002-9947-2020-08246-4/tran8246_AM.pdf

Reference64 articles.

1. Hyperbolic 3-manifolds with two generators;Adams, Colin C.;Comm. Anal. Geom.,1996

2. I. Agol, The classification of non-free 2-parabolic generator Kleinian groups, Slides of talks given at Austin AMS Meeting and Budapest Bolyai conference, July 2002, Budapest, Hungary.

3. I. Agol, Tameness of hyperbolic 3-manifolds, arXiv:math/0405568.

4. S. Aimi, D. Lee, S. Sakai, and M. Sakuma, Classification of parabolic generating pairs of Kleinian groups with two parabolic generators, to appear in Rend. Instit. Mat. Univ. Trieste, arXiv:2001.11662 [math.GT].

5. H. Akiyoshi, J. Parker, and M. Sakuma, On Hecke groups and Heckoid groups, in preparation.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Two-parabolic-generator subgroups of hyperbolic 3-manifold groups;Hiroshima Mathematical Journal;2024-07-01

2. Approximations of the Riley slice;Expositiones Mathematicae;2023-03