Chebyshevskii Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Chebyshevskii Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (922 kB)
References:
PDF
HTML
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}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-2-290-300}
Linking options:
  • https://www.mathnet.ru/eng/cheb910
  • https://www.mathnet.ru/eng/cheb/v21/i2/p290
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:136
    Full-text PDF :53
    References:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024