A census of tetrahedral hyperbolic manifolds

A census of tetrahedral hyperbolic manifolds Full article

Journal

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

Output data

Year: 2016, Volume: 25, Number: 4, Pages: 466-481 Pages count : 16 DOI: 10.1080/10586458.2015.1114436

Tags

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

Authors

Vesnin Andrei Yurʹevich ¹ , Fominykh E. ^2,3 , Garoufalidis S. ⁴ , Goerner M. ⁵ , Tarkaev V. ²

Affiliations

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

DB	Citing
Scopus	22
OpenAlex	33
Web of science	20