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Chebyshevskii Sbornik, 2020, Volume 21, Issue 2, Pages 290–300
DOI: https://doi.org/10.22405/2226-8383-2018-21-2-290-300 (Mi cheb910) 		 
Recognition and tabulation of $3$-manifolds up to complexity $13$

S. V. Matveevab, V. V. Tarkaevac

a National Research Tomsk State University, Tomsk
b Chelyabinsk State University, Chelyabinsk
c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.22405/2226-8383-2018-21-2-290-300
Abstract: We describe in breaf the complete table of closed irreducible orientable $3$-manifolds of complexity $\le 13$, and method of its creation and verification. Also we formulate a conjectures concerning the growth of the number of some kinds of manifolds. The appendix contains a short explanation of used terminology.
Keywords: three-dimensional manifolds, complexity of manifold, special spines, tabulation of three-dimensional manifolds.
Funding agency Grant number
Russian Science Foundation 19-41-02005
Russian Foundation for Basic Research 19-01-00741
Received: 29.11.2019
Accepted: 11.03.2020
Document Type: Article
UDC: 515.162.32
Language: English
Citation: S. V. Matveev, V. V. Tarkaev, “Recognition and tabulation of $3$-manifolds up to complexity $13$”, Chebyshevskii Sb., 21:2 (2020), 290–300
Citation in format AMSBIB
\Bibitem{MatTar20}
\by S.~V.~Matveev, V.~V.~Tarkaev
\paper Recognition and tabulation of $3$-manifolds up to complexity~$13$
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 2
\pages 290--300
\mathnet{http://mi.mathnet.ru/cheb910}
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