Volume 33 2005

The Novikov Conjecture

Geometry and Algebra

Authors:

ISBN: 978-3-7643-7141-8 (Print) 978-3-7643-7315-3 (Online)

Table of contents (27 chapters)

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    Book Chapter

    Pages 1-4

    A Motivating Problem

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    Book Chapter

    Pages 5-10

    Introduction to the Novikov and the Borel Conjecture

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    Book Chapter

    Pages 11-15

    Normal Bordism Groups

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    Pages 17-23

    The Signature

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    Pages 25-31

    The Signature Theorem and the Novikov Conjecture

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    Pages 33-41

    The Projective Class Group and the Whitehead Group

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    Pages 43-53

    Whitehead Torsion

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    Pages 55-58

    The Statement and Consequences of the s-Cobordism Theorem

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    Pages 59-67

    Sketch of the Proof of the s-Cobordism Theorem

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    Book Chapter

    Pages 69-74

    From the Novikov Conjecture to Surgery

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    Pages 75-78

    Surgery Below the Middle Dimension I: An Example

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    Book Chapter

    Pages 79-85

    Surgery Below the Middle Dimension II: Systematically

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    Pages 87-92

    Surgery in the Middle Dimension I

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    Pages 93-98

    Surgery in the Middle Dimension II

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    Book Chapter

    Pages 99-108

    Surgery in the Middle Dimension III

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    Book Chapter

    Pages 109-112

    An Assembly Map

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    Book Chapter

    Pages 113-117

    The Novikov Conjecture for ℤn

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    Book Chapter

    Pages 119-131

    Poincaré Duality and Algebraic L-Groups

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    Book Chapter

    Pages 133-152

    Spectra

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    Book Chapter

    Pages 153-162

    Classifying Spaces of Families

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