Determining When The Universal Abelian Cover of a Graph Manifold is a Rationla Homology Sphere

Abstract

It was shown in my earlier article that the splice diagram of a rational homology sphere graph manifold determines the manifolds universal abelian cover. In this article we use the proof of this to give a condition on the splice diagram to determine when the universal abelian cover itself is a rational homology sphere.Comment: 13 page