Classification of non-free Kleinian groups generated by two parabolic transformations
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- by Hirotaka Akiyoshi, Ken’ichi Ohshika, John Parker, Makoto Sakuma and Han Yoshida PDF
- Trans. Amer. Math. Soc. 374 (2021), 1765-1814 Request permission
Abstract:
We give a full proof to Agol’s announcement on the classification of non-free Kleinian groups generated by two parabolic transformations.References
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Additional Information
- Hirotaka Akiyoshi
- Affiliation: Department of Mathematics, Graduate School of Science, Osaka City University, 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan
- MR Author ID: 638956
- Email: akiyoshi@sci.osaka-cu.ac.jp
- Ken’ichi Ohshika
- Affiliation: Department of Mathematics, Faculty of Science, Gakushuin University, Mejiro 1-5-1, Toshima-ku, 171-8588, Japan
- MR Author ID: 215829
- Email: ohshika@math.gakushuin.ac.jp
- John Parker
- Affiliation: Department of Mathematical Sciences, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, United Kingdom
- MR Author ID: 319072
- ORCID: 0000-0003-0513-3980
- Email: j.r.parker@durham.ac.uk
- Makoto Sakuma
- Affiliation: Advanced Mathematical Institute, Osaka City University, 3-3-138, Sugimoto, Sumiyoshi, Osaka City 558-8585, Japan; and Department of Mathematics, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan
- MR Author ID: 203701
- ORCID: 0000-0001-5714-5284
- Email: sakuma@hiroshima-u.ac.jp
- Han Yoshida
- Affiliation: National Institute of Technology Gunma College, 580 Toribamachi, Maebashi, Gunma 371-8530, Japan
- Email: han@gunma-ct.ac.jp
- Received by editor(s): February 4, 2020
- Received by editor(s) in revised form: June 18, 2020
- Published electronically: January 12, 2021
- Additional Notes: The first author was supported by JSPS Grants-in-Aid 19K03497.
The second author was supported by JSPS Grants-in-Aid 17H02843 and 18KK0071
The third author would like to thank Sadayoshi Kojima for supporting his trip to Japan
The fourth author was supported by JSPS Grants-in-Aid 15H03620 - © Copyright 2020 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 374 (2021), 1765-1814
- MSC (2020): Primary 57M50; Secondary 57K10
- DOI: https://doi.org/10.1090/tran/8246
- MathSciNet review: 4216723