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The Novikov Conjecture : Geometry and Algebra

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Cover of 'The Novikov Conjecture : Geometry and Algebra'

Table of Contents

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    Book Overview
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    Chapter 1 A Motivating Problem
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    Chapter 2 Introduction to the Novikov and the Borel Conjecture
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    Chapter 3 Normal Bordism Groups
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    Chapter 4 The Signature
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    Chapter 5 The Signature Theorem and the Novikov Conjecture
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    Chapter 6 The Projective Class Group and the Whitehead Group
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    Chapter 7 Whitehead Torsion
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    Chapter 8 The Statement and Consequences of the s -Cobordism Theorem
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    Chapter 9 Sketch of the Proof of the s -Cobordism Theorem
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    Chapter 10 From the Novikov Conjecture to Surgery
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    Chapter 11 Surgery Below the Middle Dimension I: An Example
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    Chapter 12 Surgery Below the Middle Dimension II: Systematically
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    Chapter 13 Surgery in the Middle Dimension I
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    Chapter 14 Surgery in the Middle Dimension II
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    Chapter 15 Surgery in the Middle Dimension III
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    Chapter 16 An Assembly Map
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    Chapter 17 The Novikov Conjecture for ℤ n
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    Chapter 18 Poincaré Duality and Algebraic L -Groups
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    Chapter 19 Spectra
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    Chapter 20 Classifying Spaces of Families
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    Chapter 21 Equivariant Homology Theories and the Meta-Conjecture
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    Chapter 22 The Farrell-Jones Conjecture
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    Chapter 23 The Baum-Connes Conjecture
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    Chapter 24 Relating the Novikov, the Farrell-Jones and the Baum-Connes Conjectures
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    Chapter 25 Miscellaneous
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    Chapter 26 Exercises
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    Chapter 27 Hints to the Solutions of the Exercises
Attention for Chapter 20: Classifying Spaces of Families
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Chapter title
Classifying Spaces of Families
Chapter number 20
Book title
The Novikov Conjecture
Published by
Birkhäuser Basel, January 2005
DOI 10.1007/3-7643-7315-6_20
Book ISBNs
978-3-76-437141-8, 978-3-76-437315-3
View on publisher site

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