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, 2000, Volume 267, Pages 156–162 (Mi znsl1273)  

Orientations of spines of homology balls

A. Yu. Makovetskii

Chelyabinsk State University
Abstract: Oriented special spines of 3-manifolds are studied. (Orientation is an additional structure on the spine, and each 3-manifold possesses a special spine with such a structure.) The moves $M^{\pm1}$ and $L^{\pm1}$ of special spines, which do not change the manifold, are well known. We prove that $M^{+1}$ and $L^{+1}$ preserve orientability of a spine, while $M^{-1}$ and $L^{-1}$ do not. For spines of homology balls, a class of moves is described which allow one to pass from a given orientation of a spine to any other orientation of the spine.
Received: 29.10.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 113, Issue 6, Pages 818–821
DOI: https://doi.org/10.1023/A:1021239419442
Bibliographic databases:
UDC: 515.162.3
Language: Russian
Citation: A. Yu. Makovetskii, “Orientations of spines of homology balls”, Geometry and topology. Part 5, Zap. Nauchn. Sem. POMI, 267, POMI, St. Petersburg, 2000, 156–162; J. Math. Sci. (N. Y.), 113:6 (2003), 818–821
Citation in format AMSBIB
\Bibitem{Mak00}
\by A.~Yu.~Makovetskii
\paper Orientations of spines of homology balls
\inbook Geometry and topology. Part~5
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 267
\pages 156--162
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1273}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1809824}
\zmath{https://zbmath.org/?q=an:1033.57010}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 113
\issue 6
\pages 818--821
\crossref{https://doi.org/10.1023/A:1021239419442}
Linking options:
  • https://www.mathnet.ru/eng/znsl1273
  • https://www.mathnet.ru/eng/znsl/v267/p156
  • 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:128
    Full-text PDF :53
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024