activity
20242026
collaborators

6 papers

math.GT2026

Topological line arrangements with high multiplicities

Paolo Aceto, Marco Golla

We investigate constraints on the existence of topological and smooth realisations of combinatorial line arrangements and -configurations in the complex projective plane. By…

math.GT2026

Oka and Alexander polynomials of symplectic curves and divisibility relations

Hanine Awada, Marco Golla

We prove Libgober's divisibility relations for Oka and Alexander polynomials of symplectic curves in the complex projective plane. Along the way, we give new proofs of the divisibi…

math.GT2025

The Farey tree and embeddings of lens spaces and rational balls in

Marco Golla, Brendan Owens

Motivated by a conjecture of Kollár, we study embeddings of multiple rational homology balls in . To each node of the Farey tree, we associate such an embedding of…

math.GT2025

Surfaces in 4-manifolds and complex curves

Marco Golla

These are lecture notes from a mini-course taught at Winterbraids XIII (Montpellier, 2024). The main character of these notes are curves in the complex projective plane, viewed fro…

math.GT2025

Splitting links by integer homology spheres

Marco Golla, Marco Marengon

For every , we construct 2-component links in that are a split by an integer homology -sphere, but not by . In the special case , i.e. that of 2-lin…

math.GT2024

Multisections of higher-dimensional manifolds

Fathi Ben Aribi, Sylvain Courte, Marco Golla +1

Generalizing Heegaard splittings of 3-manifolds and trisections of 4-manifolds, we consider multisections of higher-dimensional smooth (or PL) closed orientable manifolds, namely d…