Constructing Universal Abelian Covers of Graph Manifolds

Details Constructing Universal Abelian Covers of Graph Manifolds Constructing Universal Abelian Covers of Graph Manifolds

2010-11-02

arxiv.org/abs/1011.0555v1

Mathematics

Geometric Topology

12 pages

Scientific paper

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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