Constructing Universal Abelian Covers of Graph Manifolds

2010/11/02 by Helge Møller Pedersen, Pedersen, Helge Møller
Computer Science · Mathematics · #57M10 #57M27 #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #math.GT #msc:57M10 #msc:57M27

paper · pdf · doi:10.48550/arxiv.1011.0555

12 pages

arxiv created 2010/11/02 · openalex publication_date 2010/11/02 · arxiv updated 2010/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

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

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