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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The signature and arithmetic genus of certain aspherical manifolds


Author: F. Thomas Farrell
Journal: Proc. Amer. Math. Soc. 57 (1976), 165-168
MSC: Primary 57D20; Secondary 58G10
DOI: https://doi.org/10.1090/S0002-9939-1976-0407855-1
MathSciNet review: 0407855
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Abstract: In this paper we show that the signature and arithmetic genus of certain aspherical manifolds $ M$ vanish when the center of $ {\pi _1}M$ is nontrivial. We make the possibly technical assumption that $ {\pi _1}M$ is residually finite.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0407855-1
Keywords: Covering space, Kaehler manifold, residually finite, center
Article copyright: © Copyright 1976 American Mathematical Society