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.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.GT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A correspondence between negative-twisting tight contact structures on Seifert fibered spaces over S² and Alexander-filtered Heegaard Floer homology provides their complete classification, proves symplectic fillability, and gives combinatorial counts via Seifert coefficients.
citing papers explorer
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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.
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Heegaard Floer homology and maximal twisting numbers
A correspondence between negative-twisting tight contact structures on Seifert fibered spaces over S² and Alexander-filtered Heegaard Floer homology provides their complete classification, proves symplectic fillability, and gives combinatorial counts via Seifert coefficients.