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Homotopy equivalences of 3-manifolds and deformation theory of Kleinian groups

About this Title

Richard D. Canary and Darryl McCullough

Publication: Memoirs of the American Mathematical Society
Publication Year 2004: Volume 172, Number 812
ISBNs: 978-0-8218-3549-4 (print); 978-1-4704-0413-0 (online)
MathSciNet review: 2096234
MSC: Primary 57N10; Secondary 20F34, 30F35, 57M50

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Table of Contents


  • 1. Introduction
  • 2. Johannson’s characteristic submanifold theory
  • 3. Relative compression bodies and cores
  • 4. Homotopy types
  • 5. Pared 3-manifolds
  • 6. Small 3-manifolds
  • 7. Geometrically finite hyperbolic 3-manifolds
  • 8. Statements of main theorems
  • 9. The case when there is a compressible free side
  • 10. The case when the boundary pattern is useful
  • 11. Dehn flips
  • 12. Finite index realization for reducible 3-manifolds
  • 13. Epilogue

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