This article is cited in 3 papers

Two-sided bounds for the complexity of hyperbolic three-manifolds with geodesic boundary

A. Yu. Vesnin^ab, E. A. Fominykh<sup>cd

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Omsk State Technical University, Omsk, Russia
^c Chelyabinsk State University, Chelyabinsk, Russia
^d Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia

Abstract: We construct an infinite family of hyperbolic three-manifolds with geodesic boundary that generalize the Thurston and Paoluzzi–Zimmermann manifolds. For the manifolds of this family, we present two-sided bounds for their complexity.

UDC: 515.162.3

Received in January 2014

DOI: 10.1134/S0371968514030042

 English version: Proceedings of the Steklov Institute of Mathematics, 2014, 286, 55–64

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