Hyperbolic rational homology spheres not admitting fillable contact structures
classification
🧮 math.GT
math.SG
keywords
contactstructuresadmitfillablehomologyhyperbolicnoterational
read the original abstract
In this short note, we exhibit an infinite family of hyperbolic rational homology $3$--spheres which do not admit any fillable contact structures. We also note that most of these manifolds do admit tight contact structures.
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