d-modules 1globally hyperbolic spacetimes 1hyperbolic equations 1microlocal analysis 1sheaf theory 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
Sheaves for spacetimes: a survey
Pierre Schapira
The paper surveys how microlocal sheaf‑theoretic methods solve the global Cauchy problem for hyperbolic D‑modules on spacetimes equipped with a time function, using Sato’s hyperfun…
math.AG2025
Topologies and sheaves on causal manifolds
Pierre Schapira
A causal manifold is a manifold endowed with a closed proper cone in the tangent bundle such that the projection is surjective when restricted to t…
math.AG2025
Unusual functorialities for weakly constructible sheaves
Andreas Hohl, Pierre Schapira
We prove that various morphisms related to the six Grothendieck operations on sheaves become isomorphisms when restricted to (weakly) constructible sheaves. To this end, we first s…