Smooth s-cobordisms of elliptic 3-manifoldsJOURNAL OF DIFFERENTIAL GEOMETRY
AbstractThe 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 with b+2 ≥ 1 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.
Citation InformationWM Chen. "Smooth s-cobordisms of elliptic 3-manifolds" JOURNAL OF DIFFERENTIAL GEOMETRY Vol. 73 Iss. 3 (2006)
Available at: http://works.bepress.com/weiminchen_chen/2/