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.
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