Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2018, Volume 468, Pages 75–81 (Mi znsl6589)  
This article is cited in 1 scientific paper (total in 1 paper)

I

Which circle bundles can be triangulated over $\partial\Delta^3$?

N. E. Mnëvab

a St. Petersburg Department of Steklov Institute of Mathematics, St. Petersburg, Russia
b Chebyshev Laboratory of St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (278 kB) Citations (1)
References:
PDF
HTML
Abstract: We prove that having the boundary of the standard three-dimensional simplex $\partial\Delta^3$ as the base of a triangulation, one can triangulate only trivial and Hopf circle bundles.
Key words and phrases: circle bundle, triangulation, Gauss–Bonnet–Chern theorem.
Funding agency Grant number
Russian Science Foundation 14-21-00035
Supported by the Russian Science Foundation grant No. 14-21-00035.
Received: 19.07.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 240, Issue 5, Pages 551–555
DOI: https://doi.org/10.1007/s10958-019-04373-z
Bibliographic databases:
Document Type: Article
UDC: 514.762
Language: English
Citation: N. E. Mnëv, “Which circle bundles can be triangulated over $\partial\Delta^3$?”, Representation theory, dynamical systems, combinatorial methods. Part XXIX, Zap. Nauchn. Sem. POMI, 468, POMI, St. Petersburg, 2018, 75–81; J. Math. Sci. (N. Y.), 240:5 (2019), 551–555
Citation in format AMSBIB
\Bibitem{Mne18}
\by N.~E.~Mn\"ev
\paper Which circle bundles can be triangulated over~$\partial\Delta^3$?
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXIX
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 468
\pages 75--81
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6589}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 240
\issue 5
\pages 551--555
\crossref{https://doi.org/10.1007/s10958-019-04373-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068164446}
Linking options:
  • https://www.mathnet.ru/eng/znsl6589
  • https://www.mathnet.ru/eng/znsl/v468/p75
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:152
    Full-text PDF :56
    References:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024