Displaying similar documents to “On the intersection forms of spin 4-manifolds bounded by spherical 3-manifolds.”

Contact topology and the structure of 5-manifolds with π 1 = ℤ 2

Hansjörg Geiges, Charles B. Thomas (1998)

Annales de l'institut Fourier

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We prove a structure theorem for closed, orientable 5-manifolds M with fundamental group π 1 ( M ) = ℤ 2 and second Stiefel-Whitney class equal to zero on H 2 ( M ) . This structure theorem is then used to construct contact structures on such manifolds by applying contact surgery to fake projective spaces and certain ℤ 2 -quotients of  S 2 × S 3 .

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....