We study the topological structure of all 3-manifolds obtained by surgery along principal fibers of a closed orientable -manifold. As a consequence, we give alternative proofs of some classical results due to W. Heil 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 $S\sp 1$-actions / A.Cavicchioli, F.Hegenbarth. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - 61:3(1996), pp. 285-313.
Surgery on $3$-manifolds with $S\sp 1$-actions
F.HegenbarthUltimo
1996
Abstract
We study the topological structure of all 3-manifolds obtained by surgery along principal fibers of a closed orientable -manifold. As a consequence, we give alternative proofs of some classical results due to W. Heil 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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