A Topological Reconstruction Theorem for $D^{\infty}$-Modules

in Duke Mathematical Journal (2000), 102(1), 39-86

We prove that any perfect complex of $D^{\infty}-modules may be reconstructed from its holomorphic solution complex provided that we keep track of the natural topology of this last complex. This is to be ... [more ▼]

We prove that any perfect complex of $D^{\infty}-modules may be reconstructed from its holomorphic solution complex provided that we keep track of the natural topology of this last complex. This is to be compared with the reconstruction theorem for regular holonomic D-modules which follows from the well-known Riemann-Hilbert correspondence. [less ▲]