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Sheaves on Manifolds: With a Short History. «Les débuts de la théorie des faisceaux». By Christian Houzel
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Catalogue Information
Field name
Details
Dewey Class
514.2
Title
Sheaves on Manifolds ([EBook]) : With a Short History. «Les débuts de la théorie des faisceaux». By Christian Houzel / by Masaki Kashiwara, Pierre Schapira.
Author
Kashiwara, Masaki. , 1947-
Added Personal Name
Schapira, Pierre. , 1943-
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1990.
Physical Details
X, 512 pages : online resource.
Series
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
0072-7830 ; ; 292
ISBN
9783662026618
Summary Note
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).:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-662-02661-8
Links to Related Works
Subject References:
Algebraic Geometry
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Algebraic Topology
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Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Mathematics
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Authors:
author
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Kashiwara, Masaki. 1947-
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Schapira, Pierre. 1943-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
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Classification:
514.2
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