83 citations · 281 across the 42 of their papers we have counts for
28 papers · 1 filter
Sheaves for spacetimes: a survey
Pierre Schapira
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 hyperfun…
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 the…
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…
A property of the interleaving distance for sheaves
Francois Petit, Pierre Schapira, Lukas Waas
Let be a real analytic manifold endowed with a distance satisfying suitable properties and let be a field. In [PS20], the authors construct a pseudo-distance on th…
Constructible sheaves and functions up to infinity
Pierre Schapira
We introduce the category of b-analytic manifolds, a natural tool to define constructible sheaves and functions up to infinity. We study with some details the operations on these o…
A finiteness theorem for holonomic DQ-modules on Poisson manifolds
Masaki Kashiwara, Pierre Schapira
On a complex symplectic manifold we prove a finiteness result for the global sections of solutions of holonomic DQ-modules in two cases: (a) by assuming that there exists a Poisson…