2016/08/02 by Fan Ding, Ding, Fan, Youlin Li +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.1608.00649
openalex publication_date 2016/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study strong symplectic fillability and Stein fillability of some tight contact structures on negative parabolic and negative hyperbolic torus bundles over the circle. For the universally tight contact structure with twisting π in S1-direction on a negative parabolic torus bundle, we completely determine its strong symplectic fillability and Stein fillability. For the universally tight contact structure with twisting π in S1-direction on a negative hyperbolic torus bundle, we give a necessary condition for it being strongly symplectically fillable. For the virtually overtwisted tight contact structure on the negative parabolic torus bundle with monodromy -Tn (n<0), we prove that it is Stein fillable. By the way, we give a partial answer to a conjecture of Golla and Lisca.