Ebook: Sheaves on Manifolds: With a Short History. «Les débuts de la théorie des faisceaux». By Christian Houzel

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)

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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)

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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:
Front Matter....Pages I-X
Introduction....Pages 1-6
A Short History: Les d?buts de la th?orie des faisceaux....Pages 7-22
Homological algebra....Pages 23-82
Sheaves....Pages 83-138
Poincar?-Verdier duality and Fourier-Sato transformation....Pages 139-184
Specialization and microlocalization....Pages 185-216
Micro-support of sheaves....Pages 217-248
Micro-support and microlocalization....Pages 249-282
Contact transformations and pure sheaves....Pages 283-319
Constructible sheaves....Pages 320-359
Characteristic cycles....Pages 360-410
Perverse sheaves....Pages 411-440
Applications to O-modules and D-modules....Pages 441-476
Back Matter....Pages 477-512

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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:
Front Matter....Pages I-X
Introduction....Pages 1-6
A Short History: Les d?buts de la th?orie des faisceaux....Pages 7-22
Homological algebra....Pages 23-82
Sheaves....Pages 83-138
Poincar?-Verdier duality and Fourier-Sato transformation....Pages 139-184
Specialization and microlocalization....Pages 185-216
Micro-support of sheaves....Pages 217-248
Micro-support and microlocalization....Pages 249-282
Contact transformations and pure sheaves....Pages 283-319
Constructible sheaves....Pages 320-359
Characteristic cycles....Pages 360-410
Perverse sheaves....Pages 411-440
Applications to O-modules and D-modules....Pages 441-476
Back Matter....Pages 477-512
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