We study a class of Seifert fibered 3-manifolds M(g,n), depending on two non-negative integers, which arise from polyhedral schemata. Then we completely determine their Seifert invariants by using the crystallization theory, i.e. a representation of closed connected triangulated manifolds by edge-colored graphs. We also obtain a geometric presentation of the fundamental group corresponding to a spine of M(g,n). Finally we show that M(g,1) is a 2-fold covering of the 3-sphere branched over a special 3-bridge link.
Crystallizations of Seifert fibered 3-manifolds / Ruini, Beatrice. - In: DEMONSTRATIO MATHEMATICA. - ISSN 0420-1213. - STAMPA. - 31:(1998), pp. 445-466. [10.1515/dema-1998-0221]
Crystallizations of Seifert fibered 3-manifolds
RUINI, Beatrice
1998
Abstract
We study a class of Seifert fibered 3-manifolds M(g,n), depending on two non-negative integers, which arise from polyhedral schemata. Then we completely determine their Seifert invariants by using the crystallization theory, i.e. a representation of closed connected triangulated manifolds by edge-colored graphs. We also obtain a geometric presentation of the fundamental group corresponding to a spine of M(g,n). Finally we show that M(g,1) is a 2-fold covering of the 3-sphere branched over a special 3-bridge link.
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