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Sheaves on Manifolds : With a Short History.

Sheaves on Manifolds

With a Short History. "Les debuts de la theorie des faisceaux". By Christian Houzel

Hardcover

Published: 1st May 2002
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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.

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
Audience: Professional
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): 24.2 x 16.6  x 3.3
Weight (kg): 0.95