24 citations · 102 across the 27 of their papers we have counts for
34 papers
Lens spaces that cannot be obtained by two integral surgeries
Marco Golla, Marc Kegel
In this article, we demonstrate that there exists an infinite family of lens spaces L(p,q) that cannot be obtained from the 3-sphere by two integral surgeries. The first such lens…
The Conway knot has infinite order in smooth concordance
Marco Golla, Juanita Pinzón-Caicedo
We prove that the Conway knot has infinite order in the concordance group, and in particular that it is not slice. Ours is an alternative, independent proof with respect to those o…
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…
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 t…
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…
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…
On line arrangements with odd multiplicities
Marco Golla
We give restrictions on the weak combinatorics of line arrangements with singular points of odd multiplicity using topological arguments on locally-flat spheres in 4-manifolds. As…
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…
The signature of geometrically decomposable aspherical 4-manifolds
Luca Fabrizio Di Cerbo, Marco Golla
We construct examples of geometrically decomposable aspherical 4-manifolds with non-zero signature. We show that all such 4-manifolds satisfy the inequality (of Bogomolov--Miyaoka-…
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…
Rational cuspidal curves and symplectic fillings
Marco Golla, Laura Starkston
A symplectic rational cuspidal curve with positive self-intersection number admits a concave neighborhood, and thus a corresponding contact manifold on the boundary. In this articl…
On the impossibility of four-dimensional complex-hyperbolic Einstein Dehn filling
Luca F. Di Cerbo, Marco Golla
We show that the complex-hyperbolic Einstein Dehn filling compactification cannot possibly be performed in dimension four.
3-manifolds that bound no definite 4-manifold
Marco Golla, Kyle Larson
We produce a rational homology 3-sphere that does not smoothly bound either a positive or negative definite 4-manifold. Such a 3-manifold necessarily cannot be rational homology co…
Symplectic isotopy of rational cuspidal sextics and septics
Marco Golla, Fabien Kütle
We classify rational cuspidal curves of degrees 6 and 7 in the complex projective plane, up to symplectic isotopy. The proof uses topological tools, pseudoholomorphic techniques, a…
Surgeries on torus knots, rational balls, and cabling
Paolo Aceto, Marco Golla, Kyle Larson +1
We classify which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K(p,q) admit integral…
Non-orientable slice surfaces and inscribed rectangles
Peter Feller, Marco Golla
We discuss differences between genera of smooth and locally-flat non-orientable surfaces in the 4-ball with boundary a given torus knot or 2-bridge knot. In particular, we establis…
Symplectic hats
John B. Etnyre, Marco Golla
We study relative symplectic cobordisms between contact submanifolds, and in particular relative symplectic cobordisms to the empty set, that we call hats. While we make some obser…
The symplectic isotopy problem for rational cuspidal curves
Marco Golla, Laura Starkston
We define a suitably tame class of singular symplectic curves in 4-manifolds, namely those whose singularities are modeled on complex curve singularities. We study the correspondin…
On definite lattices bounded by integer surgeries along knots with slice genus at most 2
Marco Golla, Christopher Scaduto
We classify the positive definite intersection forms that arise from smooth 4-manifolds with torsion-free homology bounded by positive integer surgeries on the right-handed trefoil…
Heegaard Floer homology and concordance bounds on the Thurston norm
Daniele Celoria, Marco Golla
We prove that twisted correction terms in Heegaard Floer homology provide lower bounds on the Thurston norm of certain cohomology classes determined by the strong concordance class…
Linear independence in the rational homology cobordism group
Marco Golla, Kyle Larson
We give simple homological conditions for a rational homology 3-sphere Y to have infinite order in the rational homology cobordism group, and for a collection of rational homology…
Functoriality of the EH class and the LOSS invariant under Lagrangian concordances
Marco Golla, András Juhász
We show that the EH class and the LOSS invariant of Legendrian knots in contact 3-manifolds are functorial under regular Lagrangian concordances in Weinstein cobordisms. This gives…
Surface singularities and planar contact structures
Paolo Ghiggini, Marco Golla, Olga Plamenevskaya
We prove that if a contact 3-manifold admits an open book decomposition of genus 0, a certain intersection pattern cannot appear in the homology of any of its minimal symplectic fi…
Handle decompositions of rational balls and Casson-Gordon invariants
Paolo Aceto, Marco Golla, Ana G. Lecuona
Given a rational homology sphere which bounds rational homology balls, we investigate the complexity of these balls as measured by the number of 1-handles in a handle decomposition…