2024/04/22 by Oba, Takahiro
#FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.2404.14028
We show that, given a closed integral symplectic manifold (Σ, ω) of dimension 2n ≥ 4, for every integer k>∫Σωn, the Boothby-Wang bundle over (Σ, kω) 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.