A twistor approach to the Kontsevich complexes

Abstract

This is a note to revisit interesting results of H. Esnault, C. Sabbah, M. Saito and J.-D. Yu on the Kontsevich complexes from the viewpoint of mixed twistor D-modules. We explicitly describe the V-filtration of the mixed twistor D-modules and their relative de Rham complexes, associated to some meromorphic functions. We explain how such descriptions imply the results on the Kontsevich complexes.

References in corpus (5)

• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules
• E_1-degeneration of the irregular Hodge filtration (with an appendix by Morihiko Saito)
• On the irregular Hodge filtration of exponentially twisted mixed Hodge modules
• Twistor property of GKZ-hypergeometric systems
• Irregular Hodge filtration on twisted de Rham cohomology

Cited by in corpus (2)

• On the irregular Hodge filtration of exponentially twisted mixed Hodge modules
• The Künneth Formula for the Twisted de Rham and Higgs Cohomologies