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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)
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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}
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    • 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
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