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Wild harmonic bundles and wild pure twistor D-modules / Takuro Mochizuki.

By: Material type: TextTextSeries: Asterisque ; 340.Publication details: Paris : Societe mathématique de France, 2011.Description: x, 607 p. ; 24 cmISBN:
  • 9782856293324 (pbk.)
Subject(s): DDC classification:
  • 510=4 23 As853
Contents:
1. Introduction -- 2. Good formal property of a meromorphic [varrho]-flat bundle -- 3. Stokes structure of a good [varrho]-meromorphic flat bundle -- 4. Full Stokes data and Riemann-Hilbert-Birkoff correspondence -- 5. L²-cohomology of filtered [lambda]-flat bundle on curves -- 6. Meromorphic variation of twistor structure -- 7. Prolongments [Rho][Epsilon][lambda] for unramifiedly good wild harmonic bundles -- 8. Some basic results in the curve case -- 9. Associated family of meromorphic [lambda]-flat bundles -- 10. Smooth divisor case -- 11. Prolongation and reduction of variations of polarized pure twistor structures -- 12. Prolongation as R-triple -- 13. Preliminaries -- 14. Construction of an initial metric and preliminary correspondence -- 15. Preliminaries for the resolution of turning points -- 16. Kobayashi-Hitchin correspondence and some applications -- 17. Wild pure twistor D-modules -- 18. The hard Lefschetz theorem -- 19. Correspondence -- 20. Preliminaries from analysis on multi-sectors -- 21. Acceptable bundles -- 22. Review on R-modules, R-triples and variants-- Bibliography-- Index.
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Includes bibliographical references (p. [595]-601) and index.

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

Abstract also in French.

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