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    SHEAVES IN TOPOLOGY
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    233657

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    Sinopse

    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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    ISBN3540206655
    Pré vendaNão
    Peso263g
    Autor para link
    Livro disponível - pronta entregaNão
    Tipo itemLivro Importado
    Número de páginas236
    Número da edição1ª EDICAO - 2004
    Código Interno233657
    Código de barras3540206655
    AcabamentoPAPERBACK
    AutorDIMCA, ALEXANDRU
    EditoraSPRINGER VERLAG
    Sob encomendaSim

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