Brieskorn spheres Σ(a1,...,an) obstruct rational homology ball symplectic fillings for any contact structure on -Y when n=3 or without half convex Giroux torsion for n>3, with limited exceptions for Milnor fillable cases, and those with vanishing correction terms have at most two fillable structures
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Provides the complete list of Brieskorn spheres carrying at most two symplectically fillable contact structures up to isotopy.
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Brieskorn spheres and rational homology ball symplectic fillings
Brieskorn spheres Σ(a1,...,an) obstruct rational homology ball symplectic fillings for any contact structure on -Y when n=3 or without half convex Giroux torsion for n>3, with limited exceptions for Milnor fillable cases, and those with vanishing correction terms have at most two fillable structures
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Brieskorn spheres with two fillable contact structures
Provides the complete list of Brieskorn spheres carrying at most two symplectically fillable contact structures up to isotopy.