Author(s): Mochizuki, Takuro ( 望月拓郎)
Series: Memoirs of the American Mathematical Society 869-870
Publisher: AMS
Year: 2007
Language: English
Commentary: Latex
Pages: 555
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
