Two-sided asymptotic bounds for the complexity of some closed hyperbolic three-manifolds

Two-sided asymptotic bounds for the complexity of some closed hyperbolic three-manifolds Full article

Journal

Journal of the Australian Mathematical Society
ISSN: 1446-7887

Output data

Year: 2009, Volume: 86, Number: 2, Pages: 205-219 Pages count : 15 DOI: 10.1017/S1446788708000499

Tags

3-manifolds; Complexity; Hyperbolic geometry

Authors

Matveev S. ² , Petronio C. ³ , Vesnin Andrei Yurʹevich ¹

Affiliations

1	Sobolev Institute of Mathematics
2	Chelyabinsk State University, Chelyabinsk 454021, Russian Federation
3	Dipartimento di Matematica Applicata, Universit di Pisa, 56127 Pisa, Via Filippo Buonarroti 1C, Italy

We establish two-sided bounds for the complexity of two infinite series of closed orientable three-dimensional hyperbolic manifolds, the Lbell manifolds and the Fibonacci manifolds. The manifolds of the two series are indexed by an integer n and the corresponding complexity estimates are both linear in n.

Matveev S. , Petronio C. , Vesnin A.Y.
Two-sided asymptotic bounds for the complexity of some closed hyperbolic three-manifolds
Journal of the Australian Mathematical Society. 2009. V.86. N2. P.205-219. DOI: 10.1017/S1446788708000499 WOS Scopus OpenAlex

Web of science:	WOS:000267385500007
Scopus:	2-s2.0-70349227465
OpenAlex:	W2107622270

DB	Citing
Scopus	22
OpenAlex	37
Web of science	23