%0 Journal Article
%T The topology of Stein fillable manifolds in high dimensions I
%A Jonathan Bowden
%A Diarmuid Crowley
%A Andr¨¢s I. Stipsicz
%J Mathematics
%D 2013
%I arXiv
%X We give a bordism-theoretic characterisation of those closed almost contact (2q+1)-manifolds (with q > 2) which 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.
%U http://arxiv.org/abs/1306.2746v2