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The Signature and Arithmetic Genus of Certain Aspherical Manifolds

The Signature and Arithmetic Genus of Certain Aspherical Manifolds

In this paper we show that the signature and arithmetic genus of certain aspherical manifolds M vanish when the center of itx M is nontrivial.We make the possibly technical assumption that ttx M is residually finite.0. Introduction.Gottlieb [4] has shown that the Euler characteristic of a finite, aspherical polyhedron X …