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 ℚ-homology manifolds is proved. A geometric proof of Hirzebruch’s well-known “functional equation” for the virtual signature is outlined. Bibliography: 25 titles.
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 231, 1995, pp. 197–209.
Translated by N. Yu. Netsvetaev.
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Netsvetaev, N.Y. The signature theorem and some related questions. J Math Sci 91, 3460–3468 (1998). https://doi.org/10.1007/BF02434923
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DOI: https://doi.org/10.1007/BF02434923