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.
2
Pith papers citing it
fields
math.GT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Classifies fillable contact structures on negative-definite Seifert fibred spaces, computes unique negative maximal twisting number via lattice cohomology, and links tight structures to Stein resolutions.
citing papers explorer
-
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.
-
Fillable structures on negative-definite Seifert fibred spaces
Classifies fillable contact structures on negative-definite Seifert fibred spaces, computes unique negative maximal twisting number via lattice cohomology, and links tight structures to Stein resolutions.