English

Sheaves for spacetimes: a survey

Algebraic Geometry 2026-07-15 v1 General Relativity and Quantum Cosmology

Abstract

On a spacetime endowed with a time function (such as a globally hyperbolic manifold) we solve the global Cauchy problem for hyperbolic D-modules in the framework of Sato's hyperfunctions, illustrating the effectiveness of microlocal-sheaf theoretic methods in linear problems.

Cite

@article{arxiv.2607.14188,
  title  = {Sheaves for spacetimes: a survey},
  author = {Pierre Schapira},
  journal= {arXiv preprint arXiv:2607.14188},
  year   = {2026}
}