The Geometric Hopf Invariant and Surgery Theory - Couverture rigide

Crabb, Michael; Ranicki, Andrew

Couverture rigide

ISBN 10 : 3319713051 ISBN 13 : 9783319713052

Editeur : Springer International Publishing AG, 2018

Synopsis

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds.

Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists.

Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, withmany results old and new.

Détails de l'édition

• Éditeur: Springer International Publishing AG
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 3319713051
• ISBN 13: 9783319713052
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 413
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne