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Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds, a great geometrical idea due to R Thom and H Whitney These sheaves, generalizing the local systems that are so ubiquitous in mathematics, have powerful applications to the topology of such singular spaces (mainly algebraic and analytic complex varieties) This introduction to the subject can be regarded as a textbook on modern algebraic topology, treating the cohomology of spaces with sheaf (as opposed to constant)coefficients The first 5 chapters introduce derived categories, direct and inverse images of sheaf complexes, Verdier duality, constructible and perverse sheaves, vanishing and characteristic cycles They also discuss relations to D-modules and intersection cohomology Later chapters apply this powerful tool to the study of the topology of singularities, polynomial functions and hyperplane arrangements Some fundamental results, for which excellent sources exist, are not proved but just stated and illustrated by examples and corollaries In this way, the reader is guided rather quickly from the basic theory to current research questions, supported in this by examples and exercises ... Searches: how do i buy ebooks Sheaves in Topology (Universitext), free kids ebooks download Sheaves in Topology (Universitext), free mobile ebook downloads Sheaves in Topology (Universitext), college textbooks ebooks Sheaves in Topology (Universitext), online e books Sheaves in Topology (Universitext), charlaine harris ebooks Sheaves in Topology (Universitext), free chinese ebooks download Sheaves in Topology (Universitext) |
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Sheaves in Topology (Universitext) – Alexandru Dimca download, read, buy online
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