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, 1995, Volume 231, Pages 197–209 (Mi znsl3750)  
Topology of manifolds and varieties

The signature theorem and some related questions

N. Yu. Netsvetaev

Saint-Petersburg State University
Full-text PDF (678 kB)
Abstract: Some corollaries of the Hirzebruch–Thom signature theorem are discussed. The multiplicativity of the signature and the naturalness of the Pontryagin classes for coverings in the case of $\mathbb Q$-homology manifolds is proved. A geometric proof of Hirzebruch's well-known “functional equation” for the virtual signature is outlined. Bibl. 24 titles.
Received: 05.04.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 6, Pages 3460–3468
DOI: https://doi.org/10.1007/BF02434923
Bibliographic databases:
Document Type: Article
UDC: 515.164
Language: Russian
Citation: N. Yu. Netsvetaev, “The signature theorem and some related questions”, Investigations in topology. Part 8, Zap. Nauchn. Sem. POMI, 231, POMI, St. Petersburg, 1995, 197–209; J. Math. Sci. (New York), 91:6 (1998), 3460–3468
Citation in format AMSBIB
\Bibitem{Net95}
\by N.~Yu.~Netsvetaev
\paper The signature theorem and some related questions
\inbook Investigations in topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 231
\pages 197--209
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3750}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434293}
\zmath{https://zbmath.org/?q=an:0907.57002|0891.57003}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 6
\pages 3460--3468
\crossref{https://doi.org/10.1007/BF02434923}
Linking options:
  • https://www.mathnet.ru/eng/znsl3750
  • https://www.mathnet.ru/eng/znsl/v231/p197
    • 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:220
    Full-text PDF :95
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024