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Sheaves for spacetimes: a survey

  • Pierre Schapira
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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.

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Cite

BibTeXRIS
BibTeX
@misc{schapira2026sheaves,
  title = {{Sheaves for spacetimes: a survey}},
  author = {Pierre Schapira},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.14188},
  eprint = {2607.14188},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.14188},
}
RIS
TY  - UNPB
TI  - Sheaves for spacetimes: a survey
AU  - Pierre Schapira
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2607.14188
UR  - https://arxiv.org/abs/2607.14188
AB  - 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.
ER  -