Splice diagram determining singularity links and universal abelian covers
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 diagr...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2011
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| In: |
Geometriae dedicata
Year: 2011, Volume: 150, Issue: 1, Pages: 75-104 |
| ISSN: | 1572-9168 |
| DOI: | 10.1007/s10711-010-9495-6 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s10711-010-9495-6
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| Author Notes: | Helge Møller Pedersen |
| Summary: | 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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| Item Description: | Published: 20 April 2010 Gesehen am 11.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1572-9168 |
| DOI: | 10.1007/s10711-010-9495-6 |