A census of tetrahedral hyperbolic manifolds | Sciact - Система учета научной деятельности ИМ СО РАН

A census of tetrahedral hyperbolic manifolds Научная публикация

Журнал

Experimental Mathematics
ISSN: 1058-6458 , E-ISSN: 1944-950X

Вых. Данные

Год: 2016, Том: 25, Номер: 4, Страницы: 466-481 Страниц : 16 DOI: 10.1080/10586458.2015.1114436

Ключевые слова

Bianchi orbifolds; Census; Hyperbolic 3-manifolds; Regular ideal tetrahedron; Tetrahedral manifolds

Авторы

Веснин Андрей Юрьевич ¹ , Fominykh E. ^2,3 , Garoufalidis S. ⁴ , Goerner M. ⁵ , Tarkaev V. ²

Организации

1	Sobolev Institute of Mathematics
2	Laboratory of Quantum Topology, Chelyabinsk State University, Chelyabinsk, Russia;
3	Institute of Mathematics and Mechanics, Ekaterinburg, Russia
4	School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA
5	Pixar Animation Studios, Emeryville, CA, USA

We call a cusped hyperbolic 3-manifold tetrahedral if it can be decomposed into regular ideal tetrahedra. Following an earlier publication by three of the authors, we give a census of all tetrahedral manifolds and all of their combinatorial tetrahedral tessellations with at most 25 (orientable case) and 21 (non-orientable case) tetrahedra. Our isometry classification uses certified canonical cell decompositions (based onwork by Dunfield, Hoffman, and Licata) and isomorphism signatures (an improvement of dehydration sequences by Burton). The tetrahedral census comes in Regina as well as SnapPy format, and we illustrate its features.

Vesnin A.Y. , Fominykh E. , Garoufalidis S. , Goerner M. , Tarkaev V.
A census of tetrahedral hyperbolic manifolds
Experimental Mathematics. 2016. V.25. N4. P.466-481. DOI: 10.1080/10586458.2015.1114436 WOS Scopus OpenAlex

Web of science:	WOS:000392133600008
Scopus:	2-s2.0-84968547400
OpenAlex:	W2131123874

БД	Цитирований
Scopus	22
OpenAlex	33
Web of science	20