Cusped hyperbolic 3-manifolds of complexity 10 having maximum volume

Cusped hyperbolic 3-manifolds of complexity 10 having maximum volume Full article

Journal

Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 , E-ISSN: 1531-8605

Output data

Year: 2015, Volume: 289, Pages: 227-239 Pages count : 13 DOI: 10.1134/S0081543815050211

Tags

complexity of manifolds; cusped hyperbolic 3-manifolds

Authors

Vesnin Andrei Yurʹevich ^1,2 , Tarkaev V.V. ^3,4 , Fominykh E.A. ^3,4

Affiliations

1	Sobolev Institute of Mathematics
2	Omsk State Technical University
3	Chelyabinsk State University, ul. Br. Kashirinykh 129, Chelyabinsk, 454001, Russia
4	Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

We give a complete census of orientable cusped hyperbolic 3-manifolds obtained by gluing at most ten regular ideal hyperbolic tetrahedra. Although the census is exhaustive, the question of nonhomeomorphism remains open for some pairs of manifolds with one, two, and three cusps

Vesnin A.Y. , Tarkaev V.V. , Fominykh E.A.
Cusped hyperbolic 3-manifolds of complexity 10 having maximum volume
Proceedings of the Steklov Institute of Mathematics. 2015. V.289. P.227-239. DOI: 10.1134/S0081543815050211 WOS Scopus OpenAlex

Web of science:	WOS:000356931500021
Scopus:	2-s2.0-84932613231
OpenAlex:	W2299982068

DB	Citing
Scopus	1
OpenAlex	5
Web of science	4