5 papers
Characteristic cycles of real and complex constructible sheaves, revisited
Ren Fernandes, Kazuki Kudomi, Kiyoshi Takeuchi
For a smooth morphism of real analytic manifolds and an -constructible sheaf on satisfying some condition, we define a family of Lagra…
The Legend of Masaki Kashiwara and Algebraic Analysis
Kiyoshi Takeuchi
This survey paper offers a concise introduction to Kashiwara's work on -modules, microlocal analysis and related subjects. In this way, we explain his role in the deve…
On characteristic cycles of irregular holonomic D-modules
Kazuki Kudomi, Kiyoshi Takeuchi
Based on the recent progress in the irregular Riemann-Hilbert correspondence for holonomic D-modules, we show that the characteristic cycles of some standard irregular holonomic D-…
A Morse theoretical approach to Fourier transforms of holonomic D-modules in dimension one
Kazuki Kudomi, Kiyoshi Takeuchi
We study Fourier transforms of holonomic D-modules on the complex affine line and show that their enhanced solution complexes are described by a twisted Morse theory. We thus recov…
On the monodromies at infinity of Fourier transforms of holonomic D-modules
Kazuki Kudomi, Kiyoshi Takeuchi
Based on the recent progress in the irregular Riemann-Hilbert correspondence, we study the monodromies at infinity of the holomorphic solutions of Fourier transforms of holonomic D…