activity
20202026
most citedNon-loose negative torus knots

4 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.GT2026

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…

math.GT2026

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…

math.GT2026

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…

math.GT2026

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…

math.GT2023

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…

math.GT2020★ 4 cited

Non-loose negative torus knots

Irena Matkovič

We study Legendrian and transverse realizations of the negative torus knots in all contact structures on the -sphere. We give a complete classification of the stron…