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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2011
|
| In: |
Geometriae dedicata
Year: 2011, Jahrgang: 150, Heft: 1, Pages: 75-104 |
| ISSN: | 1572-9168 |
| DOI: | 10.1007/s10711-010-9495-6 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s10711-010-9495-6
|
| Verfasserangaben: | Helge Møller Pedersen |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1818556030 | ||
| 003 | DE-627 | ||
| 005 | 20230710111755.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 221011s2011 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s10711-010-9495-6 |2 doi | |
| 035 | |a (DE-627)1818556030 | ||
| 035 | |a (DE-599)KXP1818556030 | ||
| 035 | |a (OCoLC)1389773365 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Pedersen, Helge Møller |e VerfasserIn |0 (DE-588)1269970119 |0 (DE-627)1818556766 |4 aut | |
| 245 | 1 | 0 | |a Splice diagram determining singularity links and universal abelian covers |c Helge Møller Pedersen |
| 264 | 1 | |c 2011 | |
| 300 | |a 30 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Published: 20 April 2010 | ||
| 500 | |a Gesehen am 11.10.2022 | ||
| 520 | |a 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. | ||
| 650 | 4 | |a 32S25 | |
| 650 | 4 | |a 32S50 | |
| 650 | 4 | |a 57M10 | |
| 650 | 4 | |a 57M27 | |
| 650 | 4 | |a Abelian cover | |
| 650 | 4 | |a Orbifolds | |
| 650 | 4 | |a Rational homology sphere | |
| 650 | 4 | |a Surface singularity | |
| 773 | 0 | 8 | |i Enthalten in |t Geometriae dedicata |d Dordrecht [u.a.] : Springer Science + Business Media B.V, 1972 |g 150(2011), 1, Seite 75-104 |h Online-Ressource |w (DE-627)270127585 |w (DE-600)1476497-0 |w (DE-576)104194103 |x 1572-9168 |7 nnas |a Splice diagram determining singularity links and universal abelian covers |
| 773 | 1 | 8 | |g volume:150 |g year:2011 |g number:1 |g pages:75-104 |g extent:30 |a Splice diagram determining singularity links and universal abelian covers |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10711-010-9495-6 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20221011 | ||
| 993 | |a Article | ||
| 994 | |a 2011 | ||
| 998 | |g 1269970119 |a Pedersen, Helge Møller |m 1269970119:Pedersen, Helge Møller |p 6 | ||
| 999 | |a KXP-PPN1818556030 |e 4195978688 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"person":[{"display":"Pedersen, Helge Møller","roleDisplay":"VerfasserIn","role":"aut","family":"Pedersen","given":"Helge Møller"}],"title":[{"title":"Splice diagram determining singularity links and universal abelian covers","title_sort":"Splice diagram determining singularity links and universal abelian covers"}],"language":["eng"],"recId":"1818556030","note":["Published: 20 April 2010","Gesehen am 11.10.2022"],"type":{"media":"Online-Ressource","bibl":"article-journal"},"name":{"displayForm":["Helge Møller Pedersen"]},"id":{"eki":["1818556030"],"doi":["10.1007/s10711-010-9495-6"]},"origin":[{"dateIssuedDisp":"2011","dateIssuedKey":"2011"}],"relHost":[{"title":[{"title":"Geometriae dedicata","title_sort":"Geometriae dedicata"}],"pubHistory":["1.1972/73 -"],"part":{"pages":"75-104","issue":"1","year":"2011","extent":"30","volume":"150","text":"150(2011), 1, Seite 75-104"},"disp":"Splice diagram determining singularity links and universal abelian coversGeometriae dedicata","type":{"media":"Online-Ressource","bibl":"periodical"},"note":["Gesehen am 01.12.05"],"recId":"270127585","language":["eng"],"origin":[{"publisherPlace":"Dordrecht [u.a.] ; Dordrecht [u.a.]","publisher":"Springer Science + Business Media B.V ; Kluwer","dateIssuedKey":"1972","dateIssuedDisp":"1972-"}],"id":{"issn":["1572-9168"],"zdb":["1476497-0"],"eki":["270127585"]},"physDesc":[{"extent":"Online-Ressource"}]}],"physDesc":[{"extent":"30 S."}]} | ||
| SRT | |a PEDERSENHESPLICEDIAG2011 | ||