Displaying similar documents to “Circle-valued Morse theory and Reidemeister torsion.”

Higher Reidemeister torsion and parametrized Morse theory

Klein, John R.

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This paper constitutes a summary of the author’s Ph.D. thesis [The cell complex construction and higher R -torsion for bundles with framed Morse function (Brandeis Univ. 1989)]. Proofs of the results cited here will appear elsewhere.The first section is devoted to outlining a means of passing in a continuous way from the space of pairs ( M , f ) , where M is a compact smooth manifold and f is a Morse function on M , into a moduli space for finite cell complexes.In section two the results of section...

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

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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....