7 papers
Fillable structures on negative-definite Seifert fibred spaces
Alberto Cavallo, Irena MatkoviÄ
We classify fillable contact structures on all negative-definite star-shaped plumbings. We show that such Seifert fibred spaces admit a unique negative maximal twisting number and…
Heegaard Floer homology and maximal twisting numbers
Alberto Cavallo, Irena MatkoviÄ
We adapt the Ozsváth-Szabó full path algorithm to every star-shaped graph and establish a correspondence between negative-twisting tight contact structures on any Seifert fibred…
Brieskorn spheres with two fillable contact structures
Alberto Cavallo
Applying our recent classification of negative-twisting tight contact structures on Seifert fibered spaces whose base orbifold is a sphere, we provide the complete list of all the…
Mazur manifolds and symplectic structures
Alberto Cavallo
We use the Heegaard Floer homology cobordism maps to obstruct the existence of a symplectic structure on the Akbulut-Kirby Mazur manifolds whose boundary is a Brieskorn sphere …
Brieskorn spheres and rational homology ball symplectic fillings
Antonio Alfieri, Alberto Cavallo, Irena MatkoviÄ
Given a canonically oriented Brieskorn sphere , we confirm some statements conjectured by Gompf. More specifically, we obstruct the existence of rational homolog…
The hat and plus version of the Heegaard Floer contact invariant are not equivalent
Alberto Cavallo, Irena MatkoviÄ
We advance MatkoviÄ ideas, originally applied to complete the classification of tight structures on small Seifert fibred -spaces, to show the existence of contact structures on…