The Novikov Conjecture Geometry and Algebra /

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Kreck, Matthias (Author), Lück, Wolfgang (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2005.
Edition:1st ed. 2005.
Series:Oberwolfach Seminars, 33
Subjects:
Algebraic topology.
Manifolds (Mathematics).
Algebraic Topology.
Manifolds and Cell Complexes.
Online Access:Texto Completo
Table of Contents:
  • A Motivating Problem
  • to the Novikov and the Borel Conjecture
  • Normal Bordism Groups
  • The Signature
  • The Signature Theorem and the Novikov Conjecture
  • The Projective Class Group and the Whitehead Group
  • Whitehead Torsion
  • The Statement and Consequences of the s-Cobordism Theorem
  • Sketch of the Proof of the s-Cobordism Theorem
  • From the Novikov Conjecture to Surgery
  • Surgery Below the Middle Dimension I: An Example
  • Surgery Below the Middle Dimension II: Systematically
  • Surgery in the Middle Dimension I
  • Surgery in the Middle Dimension II
  • Surgery in the Middle Dimension III
  • An Assembly Map
  • The Novikov Conjecture for ?n
  • Poincaré Duality and Algebraic L-Groups
  • Spectra
  • Classifying Spaces of Families
  • Equivariant Homology Theories and the Meta-Conjecture
  • The Farrell-Jones Conjecture
  • The Baum-Connes Conjecture
  • Relating the Novikov, the Farrell-Jones and the Baum-Connes Conjectures
  • Miscellaneous
  • Exercises
  • Hints to the Solutions of the Exercises.

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