Smooth s-cobordisms of elliptic 3-manifolds

Details Smooth s-cobordisms of elliptic 3-manifolds Smooth s-cobordisms of elliptic 3-manifolds

2004-03-23

arxiv.org/abs/math/0403396v4

Jour. of Diff. Geom. {\bf 73} no.3 (2006), 413-490.

Mathematics

Geometric Topology

Final version, 63 pages. To appear in Jour. of Diff. Geom. (2006)

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Smooth s-cobordisms of elliptic 3-manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Smooth s-cobordisms of elliptic 3-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Smooth s-cobordisms of elliptic 3-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-679065