Publication Date
2006
Journal or Book Title
JOURNAL OF DIFFERENTIAL GEOMETRY
Abstract
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 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.
Pages
413-490
Volume
73
Issue
3
Recommended Citation
Chen, WM, "Smooth s-cobordisms of elliptic 3-manifolds" (2006). JOURNAL OF DIFFERENTIAL GEOMETRY. 282.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/282
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/1146169935