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The Reidemeister-Turaev torsion of standard Spin c structures on Seifert fibered 3-manifolds

Yuya Koda — 2012

Annales de la faculté des sciences de Toulouse Mathématiques

The Reidemeister-Turaev torsion is an invariant of 3-manifolds equipped with Spin c structures. Here, a Spin c structure of a 3-manifold is a homology class of non-singular vector fields on it. Each Seifert fibered 3-manifold has a standard Spin c structure, which is represented as a non-singular vector field the set of whose orbits give a Seifert fibration. We provide an algorithm for computing the Reidemeister-Turaev torsion of the standard Spin c structure on a Seifert fibered 3-manifold. The machinery...

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