Algebraic L-theory and Topological Manifolds

- Series Number 102: Algebraic L-theory and Topological Manifolds

af

indgår i serie CAMBRIDGE TRACTS IN MATHEMATICS


Algebraic L-theory and Topological Manifolds
  • Leveringstid 2-3 uger
  • Forventet levering 06-12-2019
Format:
Bog, paperback
Udgivelsesdato:
21-01-2008
Sprog:
Engelsk
  • Beskrivelse
  • Yderligere info
  • Anmeldelser

This book presents a definitive account of the applications of the algebraic L-theory to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincare 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 Poincare 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. The book is designed as an introduction to the subject, accessible to graduate students in topology; no previous acquaintance with surgery theory is assumed, and every algebraic concept is justified by its occurrence in topology.

Andre udgaver:

Bog, hardback

Vis mereVis mindre

Udgivelsesdato:
21-01-2008
ISBN13:
9780521055215
Vægt:
550 g
Dybde:
21 mm
Bredde:
152 mm
Højde:
229 mm
Nummer i serien:
102
Nummer i serien:
102
Format:
Paperback
  • Forfattere

  • Bibliotekernes beskrivelse

    This book presents a definitive account of the applications of the algebraic L-theory to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincare duality space with a local quadratic structure in the chain homotopy type of the universal cover.

Vis mereVis mindre

Vis mereVis mindre

Fandt du ikke hvad du søgte?

Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.

Se andre bøger, der handler om

Velkommen til Saxo - din danske boghandel!

Hos os kan du handle som Gæst, Saxo-bruger eller Saxo Premium-medlem. Du bestemmer selv, og vores kundeservice sidder altid klar med hjælp.

Om medlemspriser hos Saxo

Hvis du køber til medlemspris, bliver du automatisk medlem og får del i de mange fede fordele. De første 30 dage er gratis for nye brugere, og derefter koster det kun 99,-/md. Medlemskabet fornyes automatisk, og du kan altid opsige det. Læs mere om fordelene ved Saxo Premium her.