Splice diagram determining singularity links and universal abelian covers |
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Authors: | Helge Møller Pedersen |
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Institution: | 1.Mathematical Center Heidelberg (MATCH),Ruprecht-Karls-Universit?t Heidelberg,Heidelberg,Germany |
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Abstract: | To a rational homology sphere graph manifold one can associate a weighted tree invariant called splice diagram. In this article
we prove a sufficient numerical condition on the splice diagram for a graph manifold to be a singularity link. We also show
that if two manifolds have the same splice diagram, then their universal abelian covers are homeomorphic. To prove the last
theorem we have to generalize our notions to orbifolds. |
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Keywords: | |
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