paper

Symplectic structures and globally hyperbolic spacetimes

arXiv:2507.02895

Abstract

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 manifold itself, not on its cotangent bundle. It also includes a discussion about their geometric quantisation.

16 pages; the contents of the previous version are now an example