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A note on Stein fillability of circle bundles over symplectic manifolds
Published 22 Apr 2024 in math.GT and math.SG | (2404.14028v1)
Abstract: We show that, given a closed integral symplectic manifold $(\Sigma, \omega)$ of dimension $2n \geq 4$, for every integer $k>\int_{\Sigma}\omega{n}$, the Boothby-Wang bundle over $(\Sigma, k\omega)$ carries no Stein fillable contact structure. This negatively answers a question raised by Eliashberg. A similar result holds for Boothby-Wang orbibundles. As an application, we prove the non-smoothability of some isolated singularities.
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