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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}
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