Sheaves on manifolds : with a short history "Les débuts de la théorie des faisceaux" by Christian Houzel
著者
書誌事項
Sheaves on manifolds : with a short history "Les débuts de la théorie des faisceaux" by Christian Houzel
（Die Grundlehren der mathematischen Wissenschaften, 292）
Springer-Verlag, 1994
Corr. 2nd print
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注記
Bibliography: p. [496]-501
Includes index
内容説明・目次
内容説明
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.
目次
A Short History: Les debuts de la theorie des faisceaux.- I. Homological algebra.- II. Sheaves.- III. Poincare-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.
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