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ALGEBRAIC L-THEORY AND TOPOLOGICAL MANIFOLDS


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    Sinopse

    The Browder-Novikov-Sullivan-Wall surgery theory emerged in the 1960s as the main technique for classifying high-dimensional topological manifolds, using the algebraic L-theory of quadratic forms to relate the geometric properties of manifolds and the Poincaré duality between homology and cohomology. The abstract theory of quadratic forms on chain complexes developed by the author provides a comprehensive framework for understanding the connection between quadratic forms and manifolds. This book presents the definitive account of the applications of this algebra to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincaré duality space with a local quadratic structure in the chain homotopy type of the universal cover.

    Detalhes do Produto

      • Ano:  1992
      • País de Produção: United States
      • Código de Barras:  9780521420242
      • ISBN:  0521420245
      • Encadernação:  CAPA DURA
      • Altura: 228.00 cm
      • Largura: 152.00 cm
      • Nº de Páginas:  368

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