Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / [electronic resource] Takuro Mochizuki.

By: Mochizuki, Takuro, 1972-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 870Publication details: Providence, R.I. : American Mathematical Society, c2007Description: 1 online resource (2 v. (xii, 565 p.))ISBN: 9781470404741 (online)Subject(s): Hodge theory | D-modules | Vector bundles | Harmonic mapsAdditional physical formats: Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules /DDC classification: 514/.74 LOC classification: QA564 | .M63 2007Online resources: Contents | Contents
Contents:
Part 4. An application to the theory of pure twistor $D$-modules Chapter 14. Pure twistor $D$-module Chapter 15. Prolongation of $\mathcal {R}$-module $\mathcal {E}$ Chapter 16. The filtrations of $\mathfrak {C}[\eth _t]$ Chapter 17. The weight filtration on $\psi _{t,u} \mathfrak {C}$ and the induced $\mathcal {R}$-triple Chapter 18. The sesqui-linear pairings Chapter 19. Polarized pure twistor $D$-module and tame harmonic bundles Chapter 20. The pure twistor $D$-modules on a smooth curve (Appendix) Part 5. Characterization of semisimplicity by tame pure imaginary pluri-harmonic metric Chapter 21. Preliminary Chapter 22. Tame pure imaginary harmonic bundle Chapter 23. The Dirichlet problem in the punctured disc case Chapter 24. Control of the energy of twisted maps on a Kahler surface Chapter 25. The existence of tame pure imaginary pluri-harmonic metric
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Includes bibliographical references and indexes.

Part 4. An application to the theory of pure twistor $D$-modules Chapter 14. Pure twistor $D$-module Chapter 15. Prolongation of $\mathcal {R}$-module $\mathcal {E}$ Chapter 16. The filtrations of $\mathfrak {C}[\eth _t]$ Chapter 17. The weight filtration on $\psi _{t,u} \mathfrak {C}$ and the induced $\mathcal {R}$-triple Chapter 18. The sesqui-linear pairings Chapter 19. Polarized pure twistor $D$-module and tame harmonic bundles Chapter 20. The pure twistor $D$-modules on a smooth curve (Appendix) Part 5. Characterization of semisimplicity by tame pure imaginary pluri-harmonic metric Chapter 21. Preliminary Chapter 22. Tame pure imaginary harmonic bundle Chapter 23. The Dirichlet problem in the punctured disc case Chapter 24. Control of the energy of twisted maps on a Kahler surface Chapter 25. The existence of tame pure imaginary pluri-harmonic metric

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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