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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 286, Pages 65–74
DOI: https://doi.org/10.1134/S0371968514030042 (Mi tm3555) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

A. Yu. Vesninab, E. A. Fominykhcd

a 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
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DOI: https://doi.org/10.1134/S0371968514030042
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.
Received in January 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 286, Pages 55–64
DOI: https://doi.org/10.1134/S0081543814060042
Bibliographic databases:
Document Type: Article
UDC: 515.162.3
Language: Russian
Citation: A. Yu. Vesnin, E. A. Fominykh, “Two-sided bounds for the complexity of hyperbolic three-manifolds with geodesic boundary”, Algebraic topology, convex polytopes, and related topics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 286, MAIK Nauka/Interperiodica, Moscow, 2014, 65–74; Proc. Steklov Inst. Math., 286 (2014), 55–64
Citation in format AMSBIB
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\by A.~Yu.~Vesnin, E.~A.~Fominykh
\paper Two-sided bounds for the complexity of hyperbolic three-manifolds with geodesic boundary
\inbook Algebraic topology, convex polytopes, and related topics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2014
\vol 286
\pages 65--74
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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