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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 2, Pages 74–87 (Mi timm1060)  
This article is cited in 4 scientific papers (total in 4 papers)

Three-dimensional hyperbolic manifolds with cusps of complexity 10 having maximal volume

A. Yu. Vesninab, V. V. Tarkaevcd, E. A. Fominykhcd

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Omsk State Technical University
c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
d Chelyabinsk State University
Full-text PDF (212 kB) Citations (4)
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Abstract: We give a complete list of three-dimensional orientable hyperbolic manifolds with cusps obtained by gluing together at most ten regular ideal hyperbolic tetrahedra. Although the list is exhaustive, the question of nonhomeomorphism remains open for some pairs of manifolds with one, two, and three cusps.
Keywords: hyperbolic manifolds with cusps, complexity of manifolds.
Received: 12.03.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 289, Issue 1, Pages 227–239
DOI: https://doi.org/10.1134/S0081543815050211
Bibliographic databases:
Document Type: Article
UDC: 515.162
Language: Russian
Citation: A. Yu. Vesnin, V. V. Tarkaev, E. A. Fominykh, “Three-dimensional hyperbolic manifolds with cusps of complexity 10 having maximal volume”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 2, 2014, 74–87; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 227–239
Citation in format AMSBIB
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\paper Three-dimensional hyperbolic manifolds with cusps of complexity~10 having maximal volume
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 2
\pages 74--87
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\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2015
\vol 289
\issue , suppl. 1
\pages 227--239
\crossref{https://doi.org/10.1134/S0081543815050211}
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  • https://www.mathnet.ru/eng/timm1060
  • https://www.mathnet.ru/eng/timm/v20/i2/p74
    • This publication is cited in the following 4 articles:
    1. A. Yu. Vesnin, S. V. Matveev, E. A. Fominykh, “New aspects of complexity theory for 3-manifolds”, Russian Math. Surveys, 73:4 (2018), 615–660  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. A. Yu. Vesnin, V. G. Turaev, E. A. Fominykh, “Complexity of virtual 3-manifolds”, Sb. Math., 207:11 (2016), 1493–1511  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. E. Fominykh, S. Garoufalidis, M. Goerner, V. Tarkaev, A. Vesnin, “A Census of Tetrahedral Hyperbolic Manifolds”, Exp. Math., 25:4 (2016), 466–481  crossref  mathscinet  zmath  isi  scopus
    4. A. Yu. Vesnin, V. G. Turaev, E. A. Fominykh, “Three-dimensional manifolds with poor spines”, Proc. Steklov Inst. Math., 288 (2015), 29–38  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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