Contact structures exist on Brieskorn spheres with non-vanishing hat Heegaard Floer contact invariant but vanishing plus version, proving the two invariants are not equivalent.
Wu,Legendrian vertical circles in small Seifert spaces, Commun
2 Pith papers cite this work. Polarity classification is still indexing.
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math.GT 2years
2026 2verdicts
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Negative-definite Seifert fibered spaces have a unique negative maximal twisting number, with their fillable tight contact structures induced by Stein structures on the minimal resolution of the underlying complex surface singularity.
citing papers explorer
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The hat and plus version of the Heegaard Floer contact invariant are not equivalent
Contact structures exist on Brieskorn spheres with non-vanishing hat Heegaard Floer contact invariant but vanishing plus version, proving the two invariants are not equivalent.
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Fillable structures on negative-definite Seifert fibred spaces
Negative-definite Seifert fibered spaces have a unique negative maximal twisting number, with their fillable tight contact structures induced by Stein structures on the minimal resolution of the underlying complex surface singularity.