Circle-valued Morse theory and Reidemeister torsion.
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Hutchings, Michael, Lee, Yi-Jen (1999)
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Schütz, D. (2002)
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Fel'shtyn, Alexander, Sánchez-Morgado, Hector (1999)
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Manolescu, Ciprian (2003)
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Lisca, Paolo, Stipsicz, András I. (2004)
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Yuya Koda (2012)
Annales de la faculté des sciences de Toulouse Mathématiques
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The Reidemeister-Turaev torsion is an invariant of 3-manifolds equipped with Spin structures. Here, a Spin 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 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 structure on a Seifert fibered 3-manifold....