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＜電子ブック＞
Sheaves on Manifolds : With a Short History. «Les débuts de la théorie des faisceaux». By Christian Houzel / by Masaki Kashiwara, Pierre Schapira
(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics. ISSN:21969701 ; 292)

版	1st ed. 1990.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1990
本文言語	英語
大きさ	X, 512 p : online resource
著者標目	*Kashiwara, Masaki author Schapira, Pierre author SpringerLink (Online service)
件　名	LCSH:Algebraic topology LCSH:Algebraic geometry LCSH:Mathematical analysis FREE:Algebraic Topology FREE:Algebraic Geometry FREE:Analysis
一般注記	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 From the reviews: This book is devoted to the study of sheaves by microlocal methods..(it) may serve as a reference source as well as a textbook on this new subject. Houzel's historical overview of the development of sheaf theory will identify important landmarks for students and will be a pleasure to read for specialists. Math. Reviews 92a (1992). The book is clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics.(...)The book can be strongly recommended to a younger mathematician enthusiastic to assimilate a new range of techniques allowing flexible application to a wide variety of problems. Bull. L.M.S. (1992) HTTP:URL=https://doi.org/10.1007/978-3-662-02661-8

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