Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Algebraic L-Theory and Topological Manifolds

Algebraic L-Theory and Topological Manifolds

Ranicki, Andrew
Ranicki, A. a.
Bollobas, Bela

Hardcover

Series: Cambridge Tracts in Mathematics, Book 102

General MathematicsGeometry

ISBN10: 0521420245
ISBN13: 9780521420242
Publisher: Cambridge University Press
Published: Dec 10 1992
Pages: 372
Weight: 1.65
Height: 1.25 Width: 6.42 Depth: 9.26
Language: English
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. The difference between the homotopy types of manifolds and Poincaré duality spaces is identified with the fibre of the algebraic L-theory assembly map, which passes from local to global quadratic duality structures on chain complexes. The algebraic L-theory assembly map is used to give a purely algebraic formulation of the Novikov conjectures on the homotopy invariance of the higher signatures; any other formulation necessarily factors through this one.

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