Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. This volume offers a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view.
From the reviews:
"Clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics." -Bulletin of the L.M.S.
Produkt-Info
Previously published in hardcover
Reihe
A Series of Comprehensive Studies in Mathematics
Band 292
Auflage
1st ed. 1990. 3rd printing. Softcover version of original hardcover edition 1990
Sprache
Verlagsort
Berlin, Heidelberg
Deutschland
Zielgruppe
Produkt-Hinweis
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 28 mm
Gewicht
ISBN-13
978-3-642-08082-1 (9783642080821)
DOI
10.1007/978-3-662-02661-8
Schweitzer Klassifikation
A Short History: Les débuts de la théorie des faisceaux.- I. Homological algebra.- II. Sheaves.- III. Poincaré-Verdier duality and Fourier-Sato transformation.- IV. Specialization and microlocalization.- V. Micro-support of sheaves.- VI. Micro-support and microlocalization.- VII. Contact transformations and pure sheaves.- VIII. Constructible sheaves.- IX. Characteristic cycles.- X. Perverse sheaves.- XI. Applications to O-modules and D-modules.- Appendix: Symplectic geometry.- Summary.- A.1. Symplectic vector spaces.- A.2. Homogeneous symplectic manifolds.- A.3. Inertia index.- Exercises to the Appendix.- Notes.- List of notations and conventions.
