15 citations · 55 across the 15 of their papers we have counts for
21 papers
Accessing Chern Numbers From Bloch Eigenstates Singularities
Rajesh Asapanna, Rabih El Sokhen, Paolo Aceto +7
We propose two methods to extract the Chern numbers of the Bloch bands of a two dimensional insulator, and apply them to a photonic lattice experiment. These two methods require th…
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…
A survey on embeddings of 3-manifolds in definite 4-manifolds
Paolo Aceto, Duncan McCoy, JungHwan Park
This article presents a survey on the topic of embedding 3-manifolds in definite 4-manifolds, emphasizing the latest progress in the field. We will focus on the significant role pl…
Slice obstructions from genus bounds in definite 4-manifolds
Paolo Aceto, Nickolas A. Castro, Maggie Miller +2
We discuss an obstruction to a knot being smoothly slice that comes from minimum-genus bounds on smoothly embedded surfaces in definite 4-manifolds. As an example, we provide an al…
Handle decomposition complexity and representation spaces
Paolo Aceto, Aliakbar Daemi, Jennifer Hom +2
We prove that there are homology three-spheres that bound definite four-manifolds, but any such bounding four-manifold must be built out of many handles. The argument uses the homo…