Universal manifold pairings and positivity.
Freedman, Michael H., Kitaev, Alexei, Nayak, Chetan, Slingerland, Johannes K., Walker, Kevin, Wang, Zhenghan (2005)
Geometry & Topology
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Universal manifold pairings and positivity.
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This is a survey of results and open problems on compact 3-manifolds which admit spines corresponding to cyclic presentations of groups. We also discuss questions concerning spines of knot manifolds and regular neighborhoods of homotopically PL embedded compacta in 3-manifolds.
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The Reidemeister-Turaev torsion of standard Spin structures on Seifert fibered 3-manifolds
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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....
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The co-rank conjecture for 3-manifold groups.
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