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Introduction to Stokes structures / Claude Sabbah.

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Author/Creator:
Sabbah, Claude.
Language:
English.
Publication date:
2013
Imprint:
Heidelberg ; New York : Springer, c2013.
Format:
  • Book
  • xiv, 249 p. : ill. ; 24 cm.
Bibliography:
Includes bibliographical references (p. 239-243) and indexes.
Contents:
  • 1. T-filtrations
  • 2. Stokes-filtered local systems in dimension one
  • 3. Abelianity and strictness
  • 4. Stokes-perverse sheaves on Riemann surfaces
  • 5. The Riemann-Hilbert correspondence for holonomic D-modules on curves
  • 6. Applications of the Riemann-Hilbert correspondence to holonomic distributions
  • 7. Riemann-Hilbert and Laplace on the affine line (the regular case)
  • 8. Real blow-up spaces and moderate de Rham complexes
  • 9. Stokes-filtered local systems along a divisor with normal crossings
  • 10. The Riemann-Hilbert correspondence for good meromorphic connections (case of a smooth divisor)
  • 11. Good meromorphic connections (formal theory)
  • 12. Good meromorphic connections (analytic theory) and the Riemann-Hilbert correspondence
  • 13. Push-forward of Stokes-filtered local systems
  • 14. Irregular nearby cycles
  • 15. Nearby cycles of Stokes-filtered local systems.
Series:
Lecture notes in mathematics, 0075-8434 ; 2060
Lecture notes in mathematics (Springer-Verlag) ; 2060.
Subjects:
ISBN:
9783642316944
3642316948

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