Masaki Kashiwara,
Pierre Schapira
Sheaves on Manifolds
With a Short History. «Les débuts de la théorie des faisceaux». By Christian Houzel
Paperback Engels 2010 9783642080821Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783642080821
Taal:Engels
Bindwijze:paperback
Aantal pagina's:512
Uitgever:Springer Berlin Heidelberg
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Inhoudsopgave
A Short History: Les débuts de la théorie des faisceaux.- I. Homological algebra.- II. Sheaves.- III. Poincaré-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.
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