We study the topological structure of all 3-manifolds obtained by surgery along principal fibers of a closed orientable connectedS^1-manifold. As a consequence, we give alternative proofs of some classical results due to W. Hell and L. Moser. Moreover, we completely specify the Seifert invariants for the considered manifolds. Finally we classify the manifolds obtained by surgery along certain Seifert links and determine geometric presentations of their fundamental groups.

Surgery on 3-manifolds with S-1-actions / Cavicchioli, Alberto; F., Hegenbarth. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 61:(1996), pp. 285-313.

Surgery on 3-manifolds with S-1-actions

CAVICCHIOLI, Alberto;
1996

Abstract

We study the topological structure of all 3-manifolds obtained by surgery along principal fibers of a closed orientable connectedS^1-manifold. As a consequence, we give alternative proofs of some classical results due to W. Hell and L. Moser. Moreover, we completely specify the Seifert invariants for the considered manifolds. Finally we classify the manifolds obtained by surgery along certain Seifert links and determine geometric presentations of their fundamental groups.
61
285
313
Surgery on 3-manifolds with S-1-actions / Cavicchioli, Alberto; F., Hegenbarth. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 61:(1996), pp. 285-313.
Cavicchioli, Alberto; F., Hegenbarth
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/305889
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact