5 citations · 5 across the 5 of their papers we have counts for
9 papers
Symplectic structures and globally hyperbolic spacetimes
Romero Solha
The aim of this note is to present a construction of symplectic structures on orientable globally hyperbolic 4-dimensional lorentzian manifolds. Said structures are defined on the…
Symplectic foliations induced by harmonic forms on 3-manifolds
Romero Solha
This article details a construction of symplectic foliations on 3-dimensional orientable riemannian manifolds from harmonic forms; and how it suggests a topological approach to Poi…
Gauss--Bonnet theorem for compact and orientable surfaces: a proof without using triangulations
Romero Solha
The aim of this note is to provide an intrinsic proof of the Gauss--Bonnet theorem without invoking triangulations, which is achieved by exploiting complex structures.
Geometric quantization of semitoric systems and almost toric manifolds
Eva Miranda, Francisco Presas, Romero Solha
Kostant gave a model for the real geometric quantization associated to polarizations via the cohomology associated to the sheaf of flat sections of a pre-quantum line bundle. This…
Darboux normal form theorem as an example of Liouville integrability theorem
Romero Solha
The note offers a proof of Darboux and Liouville theorems from a symplectic group action perspective.
Charge quantisation without magnetic poles: a topological approach to electromagnetism
Romero Solha
The present work provides a theoretical explanation for the quantisation of electric charges, an open problem since Millikan's oil drop experiment in 1909. This explanation is base…