The Geometric Hopf Invariant and Surgery Theory

• Κύριοι συγγραφείς: Crabb, Michael (Συγγραφέας), Ranicki, Andrew (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).

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 l...

Πίνακας περιεχομένων:

• 1 The difference construction
• 2 Umkehr maps and inner product spaces
• 3 Stable homotopy theory
• 4 Z_2-equivariant homotopy and bordism theory
• 5 The geometric Hopf invariant
• 6 The double point theorem
• 7 The -equivariant geometric Hopf invariant
• 8 Surgery obstruction theory
• A The homotopy Umkehr map
• B Notes on Z2-bordism
• C The geometric Hopf invariant and double points (2010)
• References
• Index.