Sheaves on Manifolds: With a Short History. «Les débuts de la théorie des faisceaux». By Christian Houzel
Author:   Masaki Kashiwara ,  Pierre Schapira
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1st ed. 1990. 3rd printing 2002
Volume:   292
ISBN:  

9783540518617


Pages:   512
Publication Date:   29 August 1990
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
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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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Overview

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.

Full Product Details

Author:   Masaki Kashiwara ,  Pierre Schapira
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 1990. 3rd printing 2002
Volume:   292
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   2.010kg
ISBN:  

9783540518617


ISBN 10:   3540518614
Pages:   512
Publication Date:   29 August 1990
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

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.

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