Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 341–364 (Mi semr331)  
This article is cited in 7 scientific papers (total in 7 papers)

Complexity of 3-dimensional manifolds: exact values and estimates

A. Yu. Vesnina, S. V. Matveevbc, E. A. Fominykhbc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
c Chelyabinsk State University
Full-text PDF (571 kB) Citations (7)
References:
PDF
HTML
Abstract: The paper is a survey of recent results on the complexity theory of 3-manifolds obtained by the authors and their colleagues. We describe existing tables of closed 3-manifolds and several infinite series of 3-manifolds with known complexities. We also give potentially exact estimates of complexity of Seifert and graph manifolds as well as for large families of hyperbolic manifolds.
Keywords: Matveev's complexity, 3-manifolds.
Received November 14, 2011, published November 15, 2011
Document Type: Article
UDC: 515.162.32
MSC: 57M27, 57M50
Language: Russian
Citation: A. Yu. Vesnin, S. V. Matveev, E. A. Fominykh, “Complexity of 3-dimensional manifolds: exact values and estimates”, Sib. Èlektron. Mat. Izv., 8 (2011), 341–364
Citation in format AMSBIB
\Bibitem{VesMatFom11}
\by A.~Yu.~Vesnin, S.~V.~Matveev, E.~A.~Fominykh
\paper Complexity of 3-dimensional manifolds: exact values and estimates
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 341--364
\mathnet{http://mi.mathnet.ru/semr331}
Linking options:
  • https://www.mathnet.ru/eng/semr331
  • https://www.mathnet.ru/eng/semr/v8/p341
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:473
    Full-text PDF :151
    References:55
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024