3-manifolds and relativistic kinks

Zvengrowski, Peter

Displaying similar documents to “3-manifolds and relativistic kinks”

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 $S^{2} \times S^{3}$ .

On the topological structure of compact 5-manifolds

Alberto Cavicchioli, Fulvia Spaggiari (1993)

Commentationes Mathematicae Universitatis Carolinae

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We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let $M$ be a closed connected orientable smooth $5$ -manifold with free fundamental group. Then we prove that the number of distinct smooth $5$ -manifolds homotopy equivalent to $M$ equals the $2$ -nd Betti number (mod $2$ ) of $M$ .