5 papers
Brieskorn spheres and rational homology ball symplectic fillings
Antonio Alfieri, Alberto Cavallo, Irena Matkovič
Given a canonically oriented Brieskorn sphere , we confirm some statements conjectured by Gompf. More specifically, we obstruct the existence of rational homology…
The hat and plus version of the Heegaard Floer contact invariant are not equivalent
Alberto Cavallo, Irena Matkovič
We advance Matkovič ideas, originally applied to complete the classification of tight structures on small Seifert fibred -spaces, to show the existence of contact structures on…
Fillable structures on negative-definite Seifert fibred spaces
Alberto Cavallo, Irena Matkovič
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 Matkovič
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 sp…
Legendrian invariants and half Giroux torsion
Alberto Cavallo, Irena Matkovič
We collect some observations about Legendrian links with non-vanishing contact invariants, mostly concerning the non-loose realizations of links and the addition of boundary-parall…