120 citations · 669 across the 39 of their papers we have counts for
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A generalization of Barannikov-Kontsevich theorem
Takuro Mochizuki
We study the twisted de Rham complex associated with a holomorphic function on a Kähler manifold whose critical point set is compact. We prove the -degeneration of the Hodge-t…
-complexes and twistor complexes of tame harmonic bundles
Takuro Mochizuki
Let be a morphism of complex manifolds. Suppose that is a Kähler manifold. Let be a regular polarized pure twistor -module o…
Curve test for enhanced ind-sheaves and holonomic D-modules
Takuro Mochizuki
Recently, the Riemann-Hilbert correspondence was generalized in the context of general holonomic D-modules by A. D'Agnolo and M. Kashiwara. Namely, they proved that their enhanced…
Mixed twistor D-modules
Takuro Mochizuki
We introduce mixed twistor -modules, and establish the fundamental functorial property. We also prove that they are described as the gluing of admissible variations of mixed twi…