5 citations · 5 across the 3 of their papers we have counts for
6 papers · 1 filter
Smooth Realizations of Line Configurations
Paolo Aceto, Duncan McCoy, JungHwan Park
We study the problem of realizing line configurations as collections of 2-spheres smoothly embedded in the complex projective plane. Building upon prior work by Ruberman and Starks…
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…
Non-simply connected symplectic fillings of lens spaces
Paolo Aceto, Duncan McCoy, JungHwan Park
We prove results exploring the relationship between the fundamental group and the second Betti number of minimal symplectic fillings of lens spaces. These results unify and general…
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…
Embedding lens spaces in definite 4-manifolds
Paolo Aceto, JungHwan Park
Every lens space has a locally flat embedding in a connected sum of 8 copies of the complex projective plane and a smooth embedding in n copies of the complex projective plane for…
Rational cobordisms and integral homology
Paolo Aceto, Daniele Celoria, JungHwan Park
We consider the question of when a rational homology 3-sphere is rational homology cobordant to a connected sum of lens spaces. We prove that every rational homology cobordism clas…