Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules

Contents
1 Introduction
I Preliminary
	2 Preliminary
	3 Preliminary for Mixed Twistor Structure
	4 Preliminary for Filtrations
	5 Some Lemmas for Generically Splitted Case
	6 Model Bundles
II Prolongation of Deformed
Holomorphic Bundles
	7 Harmonic Bundles on a Punctured Disc
	8 Harmonic Bundles on a Product of Punctured
Discs
	9 The KMS-structure of the Space of the
Multi-valued Flat Sections
	10 The Induced Regular λ-connection on Δn × C
∗
III Limiting Mixed Twistor Theorem
and Some Consequence
	11 The Induced Vector Bundle over P1
	12 Limiting Mixed Twistor Theorem
	13 Norm Estimate
IV An Application to the Theory of
Pure Twistor D-modules
	14 Pure Twistor D-module
	15 Prolongation of R-module ε
	16 The Filtrations of E[ðt]
	17 The Weight Filtration on ψt,uE and the Induced
R-Triple
	18 The Sesqui-linear Pairings
	19 Polarized Pure Twistor D-module and Tame
Harmonic Bundles
	20 The Pure Twistor D-modules on a Smooth Curve (Appendix)
V Characterization of Semisimplicity
by Tame Pure Imaginary
Pluri-harmonic Metric
	21 Preliminary
	22 Tame Pure Imaginary Harmonic Bundle
	23 The Dirichlet Problem in the Punctured Disc Case
	24 Control of the Energy of Twisted Maps on a
Kahler Surface
	25 The Existence of Tame Pure Imaginary
Pluri-harmonic Metric
Bibliography
Index