The signature and arithmetic genus of certain aspherical manifolds

Farrell, F. Thomas

doi:10.1090/S0002-9939-1976-0407855-1

The signature and arithmetic genus of certain aspherical manifolds
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Proc. Amer. Math. Soc. 57 (1976), 165-168 Request permission

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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