Get Algebraic L-theory and topological manifolds PDF

By A. A. Ranicki

ISBN-10: 0521055210

ISBN-13: 9780521055215

This booklet provides the definitive account of the purposes of this algebra to the surgical procedure type of topological manifolds. The vital result's the identity of a manifold constitution within the homotopy kind of a Poincaré duality house with an area quadratic constitution within the chain homotopy form of the common conceal. the variation among the homotopy sorts of manifolds and Poincaré duality areas is pointed out with the fibre of the algebraic L-theory meeting map, which passes from neighborhood to worldwide quadratic duality constructions on chain complexes. The algebraic L-theory meeting map is used to offer a basically algebraic formula of the Novikov conjectures at the homotopy invariance of the better signatures; the other formula inevitably components via this one.

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