Constructing Universal Abelian Covers of Graph Manifolds

Helge Møller Pedersen

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arXiv · 1011.0555

Constructing Universal Abelian Covers of Graph Manifolds

Helge Møller Pedersen

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Abstract

To a rational homology sphere graph manifold one can associate a weighted tree invariant called splice diagram. It was shown earlier that the splice diagram determines the universal abelian cover of the manifold. We will in this article turn the proof of this in to an algorithm to explicitly construct the universal abelian cover from the splice diagram.

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Helge Møller Pedersen. 2010-11-02. Constructing Universal Abelian Covers of Graph Manifolds. https://arxiv.org/abs/1011.0555

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