Wild harmonic bundles and wild pure twistor D-modules
By: Takuro Mochizuki
Series: Astérisque -- 340; Astérisque -- 340.
Publisher: Société mathématique de France
Published: 2011
Place of publication: Paris
Language: eng
Number of pages: 607
ISBN-13: 9782856293324
Subjects: Vector bundles; D-modules
Notes: Includes bibliographical references (p. [595]-601) and index.

Abstract also in French.
Table of contents: title: 1. Introduction; title: 2. Good formal property of a meromorphic [varrho]-flat bundle; title: 3. Stokes structure of a good [varrho]-meromorphic flat bundle; title: 4. Full Stokes data and Riemann-Hilbert-Birkoff correspondence; title: 5. L²-cohomology of filtered [lambda]-flat bundle on curves; title: 6. Meromorphic variation of twistor structure; title: 7. Prolongments [Rho][Epsilon][lambda] for unramifiedly good wild harmonic bundles; title: 8. Some basic results in the curve case; title: 9. Associated family of meromorphic [lambda]-flat bundles; title: 10. Smooth divisor case; title: 11. Prolongation and reduction of variations of polarized pure twistor structures; title: 12. Prolongation as R-triple; title: 13. Preliminaries; title: 14. Construction of an initial metric and preliminary correspondence; title: 15. Preliminaries for the resolution of turning points; title: 16. Kobayashi-Hitchin correspondence and some applications; title: 17. Wild pure twistor D-modules; title: 18. The hard Lefschetz theorem; title: 19. Correspondence; title: 20. Preliminaries from analysis on multi-sectors; title: 21. Acceptable bundles; title: 22. Review on R-modules, R-triples and variants.