Surgery on Compact Manifolds

Name: Surgery on Compact Manifolds
Availability: OutOfStock
ISBN: 9780127327501

ISBN-10: 0127327509

ISBN-13: 9780127327501

Edition: 1970

Authors: C. T. Wall

List price: $108.00

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Description:

Offers a framework for relating the homotopy theory of manifolds to the algebraic theory of quadratic forms, a surgery obstruction theory for manifolds with arbitrary fundamental group, and an extension of the theory from the differentiable and piecewise linear categories to the topological category. Additions to the text, new notes, and new chapters summarize developments in the field since the 1970 first edition. A rough road even for readers with a good founding in surgery theory. Annotation copyrighted by Book News, Inc., Portland, OR

Book details

List price: $108.00
Copyright year: 1970
Publisher: Elsevier Science & Technology Books
Binding: Hardcover
Language: English

Preliminaries: Note on conventions
Basic homotopy notions Surgery below the middle dimension
Appendix: Applications Simple Poincare complexes
The main theorem: Statement of results
An important special case
The even-dimensional case
The odd-dimensional case
The bounded odd-dimensional case
The bounded even-dimensional case
Completion of the proof Patterns of application: Manifold structures on Poincare complexes
Applications to submanifolds Submanifolds: Other techniques
Separating submanifolds Two-sided submanifolds One-sided submanifolds
Calculations and applications: Calculations: Surgery obstruction groups
Calculations: The surgery obstructions
Applications: Free actions on spheres
General remarks An extension of the Atiyah-Singer $G$-signature theorem
Free actions of $S^1$ Fake projective spaces (real) Fake lens spaces
Applications: Free uniform actions on euclidean space
Fake tori Polycyclic groups
Applications to 4-manifolds Postscript: Further ideas and suggestions: Recent work
function space methods Topological manifolds
Poincare embeddings Homotopy and simple homotopy
Further calculations Sullivan's results
Reformulations of the algebra Rational surgery
References
Index
Table of Contents provided by Publisher. All Rights Reserved.