Binormal deformation and bimicrolocalization (Q1922291)

Let \(M\subset N\subset X\) be a triplet of \(C^\infty\) manifolds. The author introduces a functor of bispecialization along the pair \((M,N)\), defined in terms of iteration of normal deformations, associating to a sheaf on \(X\) a sheaf on the fibered product of the normal bundles. Using Fourier-Sato transformation, the author defines a functor of bimicrolocalization and studies its properties.