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

Helge Møller Pedersen

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arXiv · 1011.0285

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

Helge Møller Pedersen

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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.

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Helge Møller Pedersen. 2010-11-01. Determining When The Universal Abelian Cover of a Graph Manifold is a Rationla Homology Sphere. https://arxiv.org/abs/1011.0285

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