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Sheaves on Manifolds

With a Short History. «Les débuts de la théorie des faisceaux». By Christian Houzel

  • Book
  • © 1990

Overview

Authors:
  1. Masaki Kashiwara

    1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606, Japan

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  2. Pierre Schapira

    1. Department of Mathematics, University of Paris VI, Paris Cedex 05, France

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 292)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    • Masaki Kashiwara, Pierre Schapira
    Pages 1-6

  3. A Short History: Les débuts de la théorie des faisceaux

    • Christian Houzel
    Pages 7-22

  4. Homological algebra

    • Masaki Kashiwara, Pierre Schapira
    Pages 23-82

  5. Sheaves

    • Masaki Kashiwara, Pierre Schapira
    Pages 83-138

  6. Poincaré-Verdier duality and Fourier-Sato transformation

    • Masaki Kashiwara, Pierre Schapira
    Pages 139-184

  7. Specialization and microlocalization

    • Masaki Kashiwara, Pierre Schapira
    Pages 185-216

  8. Micro-support of sheaves

    • Masaki Kashiwara, Pierre Schapira
    Pages 217-248

  9. Micro-support and microlocalization

    • Masaki Kashiwara, Pierre Schapira
    Pages 249-282

  10. Contact transformations and pure sheaves

    • Masaki Kashiwara, Pierre Schapira
    Pages 283-319

  11. Constructible sheaves

    • Masaki Kashiwara, Pierre Schapira
    Pages 320-359

  12. Characteristic cycles

    • Masaki Kashiwara, Pierre Schapira
    Pages 360-410

  13. Perverse sheaves

    • Masaki Kashiwara, Pierre Schapira
    Pages 411-440

  14. Applications to O-modules and D-modules

    • Masaki Kashiwara, Pierre Schapira
    Pages 441-476

  15. Back Matter

    Pages 477-512
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Keywords

About this book

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)

Authors and Affiliations

  • Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606, Japan

    Masaki Kashiwara

  • Department of Mathematics, University of Paris VI, Paris Cedex 05, France

    Pierre Schapira

Bibliographic Information

  • Book Title: Sheaves on Manifolds

  • Book Subtitle: With a Short History. «Les débuts de la théorie des faisceaux». By Christian Houzel

  • Authors: Masaki Kashiwara, Pierre Schapira

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-662-02661-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Hardcover ISBN: 978-3-540-51861-7Published: 29 August 1990

  • Softcover ISBN: 978-3-642-08082-1Published: 01 December 2010

  • eBook ISBN: 978-3-662-02661-8Published: 14 March 2013

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: X, 512

  • Topics: Algebraic Topology, Algebraic Geometry, Analysis

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