Abstract
We give a bordism-theoretic characterization of those closed almost contact (2q+1)-manifolds (with q≥2) that admit a Stein fillable contact structure. Our method is to apply Eliashberg's h-principle for Stein manifolds in the setting of Kreck's modified surgery. As an application, we show that any simply connected almost contact 7-manifold with torsion-free second homotopy group is Stein fillable. We also discuss the Stein fillability of exotic spheres and examine subcritical Stein fillability.
Original language | English |
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Pages (from-to) | 1363-1401 |
Number of pages | 39 |
Journal | Proceedings of the London Mathematical Society |
Volume | 109 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2014 |
Externally published | Yes |