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Sheaves on Manifolds : With a Short History. «les Debuts de la Theorie Des Faisceaux». by Christian Houzel - Masaki Kashiwara

Sheaves on Manifolds

With a Short History. «les Debuts de la Theorie Des Faisceaux». by Christian Houzel

Hardcover Published: 1st May 2002
ISBN: 9783540518617
Number Of Pages: 512

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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)

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.

ISBN: 9783540518617
ISBN-10: 3540518614
Series: Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover)
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 512
Published: 1st May 2002
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.93 x 16.41  x 2.79
Weight (kg): 0.89