English

Constructing Universal Abelian Covers of Graph Manifolds

Geometric Topology 2010-11-03 v1

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.

Keywords

Cite

@article{arxiv.1011.0555,
  title  = {Constructing Universal Abelian Covers of Graph Manifolds},
  author = {Helge Møller Pedersen},
  journal= {arXiv preprint arXiv:1011.0555},
  year   = {2010}
}

Comments

12 pages

R2 v1 2026-06-21T16:37:36.787Z