caa a22 4500 445884398 CHVBK 20180317145554.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10711-010-9495-6 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9495-6 Pedersen Helge Mathematical Center Heidelberg (MATCH), Ruprecht-Karls-Universität Heidelberg, Im Neuenheimer Feld 288, 69120, Heidelberg, Germany aut Splice diagram determining singularity links and universal abelian covers [Elektronische Daten] [Helge Pedersen] 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. Springer Science+Business Media B.V., 2010 Surface singularity nationallicence Rational homology sphere nationallicence Abelian cover nationallicence Orbifolds nationallicence Geometriae Dedicata Springer Netherlands 150/1(2011-02-01), 75-104 0046-5755 150:1<75 2011 150 10711 https://doi.org/10.1007/s10711-010-9495-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9495-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pedersen Helge Mathematical Center Heidelberg (MATCH), Ruprecht-Karls-Universität Heidelberg, Im Neuenheimer Feld 288, 69120, Heidelberg, Germany aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 150/1(2011-02-01), 75-104 0046-5755 150:1<75 2011 150 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer