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AuthorKashiwara, Masaki. author
TitleSheaves on Manifolds [electronic resource] : With a Short History. ยซLes dรฉbuts de la thรฉorie des faisceauxยป. By Christian Houzel / by Masaki Kashiwara, Pierre Schapira
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990
Connect tohttp://dx.doi.org/10.1007/978-3-662-02661-8
Descript X, 512 p. online resource

SUMMARY

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)


CONTENT

A Short History: Les dรฉbuts de la thรฉorie des faisceaux -- I. Homological algebra -- II. Sheaves -- III. Poincarรฉ-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


Mathematics Algebraic geometry Mathematical analysis Analysis (Mathematics) Algebraic topology Mathematics Algebraic Topology Algebraic Geometry Analysis



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