Antonio Alfieri

collaborators

4 papers

math.GT2026

Brieskorn spheres and rational homology ball symplectic fillings

Antonio Alfieri, Alberto Cavallo, Irena MatkoviÄ

Given a canonically oriented Brieskorn sphere $Y = I^£ (a_{1}, ..., a_{n})$ , we confirm some statements conjectured by Gompf. More specifically, we obstruct the existence of rational homolog…

math.GT2025

Holomorphic curves in Stein domains and the tau-invariant

Antonio Alfieri, Alberto Cavallo

The scope of the paper is threefold. First, we build on recent work by Hayden to compute Hedden's tau-invariant $I ¨ _{I^} ¾ (L)$ in the case when $I^¾$ is a Stein fillable contact structu…

math.GT2025

Heegaard Floer theory and pseudo-Anosov flows II: Differential and Fried pants

Antonio Alfieri, Chi Cheuk Tsang

In earlier work, relying on work of Agol-GuÃ©ritaud and Landry-Minsky-Taylor, we showed that given a pseudo-Anosov flow $(Y, I ¨ )$ and a collection of closed orbits $C$ sat…

math.GT2025

Heegaard Floer theory and pseudo-Anosov flows I: Generators and categorification of the zeta function

Antonio Alfieri, Chi Cheuk Tsang

We bring to light a new connection between dynamics and Heegaard Floer homology. On a closed 3-manifold $Y$ we consider a pseudo-Anosov flow $I ¨ $ with no perfect fits with respect…