The Novikov Conjecture Geometry and Algebra /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kreck, Matthias (Autor), Lück, Wolfgang (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2005.
Edición:1st ed. 2005.
Colección:Oberwolfach Seminars, 33
Temas:
Algebraic topology.
Manifolds (Mathematics).
Algebraic Topology.
Manifolds and Cell Complexes.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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