Smooth s-cobordisms of elliptic 3-manifolds

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The main result of this paper states that a symplectic s-cobordism of elliptic 3-manifolds is diffeomorphic to a product (assuming a canonical contact structure on the boundary). Based on this theorem, we conjecture that a smooth s-cobordism of elliptic 3-manifolds is smoothly a product if its universal cover is smoothly a product. We explain how the conjecture fits naturally into the program of Taubes of constructing symplectic structures on an oriented smooth 4-manifold from generic self-dual harmonic forms. The paper also contains an auxiliary result of independent interest, which generalizes Taubes' theorem SW --> Gr to the case of symplectic 4-orbifolds.
Final version, 63 pages. To appear in Jour. of Diff. Geom. (2006)

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Geometric Topology, Differential Geometry, 57R80 (Primary), 57R17, 57S17 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/99970

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403396
 http://arxiv.org/abs/math/0403396
 Jour. of Diff. Geom. {\bf 73} no.3 (2006), 413-490.

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