Surgery on compact manifolds

Cover

SURGERY ON COMPACT MANIFOLDS

Contents

Foreword to the first edition (1970)

Foreword to the second edition

Editor's foreword to the second edition

Introduction

Part 0 Preliminaries

  Note on Conventions
  0. Basic Homotopy Notions
  1. Surgery Below the Middle Dimension
  1A. Appendix: Applications
  2. Simple Poincar Complexes

Part 1 The Main Theorem

  3. Statement of Results
  4. An Important Special Case
  5. The Even-dimensional Case
  6. The Odd-dimensional Case
  7. The Bounded Odd-dimensional Case
  8. The Bounded Even-dimensional Case
  9. Completion of Proof in the General Case

Part 2 Patterns of Application

  10. Manifold Structures on Poincar Complexes
  11. Applications to Submanifolds
  12. Submanifolds: Other Techniques
  12A. Separating Submanifolds
  12B. Two-sided Submanifolds
  12C. One-sided Submanifolds

Part 3 Calculations and Applications

  13A. Calculations: Surgery Obstruction Groups
  13B. Calculations: The Surgery Obstructions
  14. Applications: Free Actions on Spheres 14A. General Remarks
  14B. An Extension of the Atiyah-Singer G-signature Theorem
  14C. Free Actions of S1
  14D. Fake Projective Spaces (Real)
  14E. Fake Lens Spaces
  15. Applications: Free Uniform Actions on Euclidean Space
  15A. Fake Tori
  15B. Polycyclic Groups
  16. Applications to 4-manifolds

Part 4 Postscript

  17. Further Ideas and Suggestions: Recent Work
  17A. Function Space Methods
  17B. Topological Manifolds
  17C. Poincar Embeddings
  17D. Homotopy and Simple Homotopy
  17E. Further Calculations
  17F. Sullivan's Results
  17G. Reformulations of the Algebra
  17H. Rational Surgery

Index