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Sheaves on manifolds

Author: Masaki Kashiwara; Pierre Schapira; Christian Houzel
Publisher: Berlin ; New York : Springer-Verlag, ©1990.
Series: Grundlehren der mathematischen Wissenschaften, 292.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Sheaf Theory is a field of mathematics at the intersection of algebraic topology, algebraic geometry, and partial differential equations. This volume presents a treatment of Sheaf Theory from the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Masaki Kashiwara; Pierre Schapira; Christian Houzel
ISBN: 0387518614 9780387518619 3540518614 9783540518617
OCLC Number: 22529174
Notes: English and French.
Description: x, 512 pages : illustrations ; 25 cm.
Contents: 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.
Series Title: Grundlehren der mathematischen Wissenschaften, 292.
Responsibility: Masaki Kashiwara, Pierre Schapira ; with a short history "Les débuts de la théorie des faisceaux" / by Christian Houzel.
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