Correspondence between negative-twisting tight contact structures on Seifert fibred spaces and Heegaard Floer homology with Alexander filtration yields complete classification, fillability proofs, and combinatorial counts.
Min,Strongly fillable contact structures without Liouville fillings
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Heegaard Floer homology and maximal twisting numbers
Correspondence between negative-twisting tight contact structures on Seifert fibred spaces and Heegaard Floer homology with Alexander filtration yields complete classification, fillability proofs, and combinatorial counts.