10 citations · 11 across the 3 of their papers we have counts for
5 papers · 1 filter
Microlocalization of Ind-sheaves
M. Kashiwara, Pierre Schapira, F. Ivorra +1
Let X be a C-infinity manifold. We construct a microlocalization functor from the derived category of bounded complexes of ind-sheaves on X to the one on the cotangent bundle…
Stacks of quantization-deformation modules on complex symplectic manifolds
Pietro Polesello, Pierre Schapira
On a complex symplectic manifold, we construct the stack of quantization-deformation modules, that is, (twisted) modules of microdifferential operators with an extra central parame…
Involutivity of truncated microsupports
Masaki Kashiwara, Teresa Monteiro Fernandes, Pierre Schapira
Using a result of J-M. Bony, we prove the weak involutivity of truncated microsupports. More precisely, given a sheaf on a real manifold and an integer , if two functions va…
Microlocal study of ind-sheaves I: micro-support and regularity
Masaki Kashiwara, Pierre Schapira
We define the notions of micro-support and regularity for ind-sheaves, and prove their invariance by contact transformations. We apply the results to the ind-sheaves of temperate h…
Ind-Sheaves, distributions, and microlocalization
Masaki Kashiwara, Pierre Schapira
This is an announcement of a long paper in progress. On a locally compact space, we introduce the stack of ind-sheaves (ind-objects of the category of sheaves with compact support)…