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Sheaves in Topology (Universitext) [Paperback]

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Item description for Sheaves in Topology (Universitext) by Alexandru Dimca...

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.

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Item Specifications...

Pages   236
Est. Packaging Dimensions:   Length: 0.75" Width: 6" Height: 9.25"
Weight:   0.85 lbs.
Binding  Softcover
Release Date   Apr 28, 2004
Publisher   Springer
ISBN  3540206655  
ISBN13  9783540206651  

Availability  133 units.
Availability accurate as of Oct 26, 2016 03:54.
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More About Alexandru Dimca

Register your artisan biography and upload your photo! Biography Alexandru Dimca

Alexandru Dimca obtained his PhD in 1981 from the University of Bucharest. His field of interest is the topology of algebraic varieties, singularities of spaces and maps, Hodge theory and D-modules.

Dimca has been a visiting member of the Max Planck Institute in Bonn and the Institute for Advanced Study in Princeton. He is the author of three monographs and over 60 research papers published in math journals all over the world.

Dimca has extensively taught at universities in Romania, Australia, the USA, and France, and he uses this teaching experience to convey effectively, to a wider mathematical community, the abstract and difficult ideas of algebraic topology.

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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
2Books > Special Features > New & Used Textbooks > Sciences > Physics
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Algebraic Geometry
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
6Books > Subjects > Professional & Technical > Professional Science > Physics > Mathematical Physics
7Books > Subjects > Science > General
8Books > Subjects > Science > Mathematics > General
9Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
10Books > Subjects > Science > Mathematics > Geometry & Topology > Topology
11Books > Subjects > Science > Mathematics > Mathematical Analysis
12Books > Subjects > Science > Physics > General
13Books > Subjects > Science > Physics > Mathematical Physics

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