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 |
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