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Equivariant surgery and classifications of finite group actions on manifolds


About this Title

Karl Heinz Dovermann and Melvin Rothenberg

Publication: Memoirs of the American Mathematical Society
Publication Year 1988: Volume 71, Number 379
ISBNs: 978-0-8218-2442-9 (print); 978-1-4704-0799-5 (online)
DOI: http://dx.doi.org/10.1090/memo/0379
MathSciNet review: 920965
MSC (1991): Primary 57S17; Secondary 57R65, 57R67, 57R85

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Table of Contents


Chapters

  • 0. Statement of results
  • 1. Discrete invariants of a manifold ( posets)
  • 2. Equivariant finiteness obstructions
  • 3. Bundle data, ambient maps, cobordism, and the surgery sequence
  • 4. Equivariant surgery and normal cobordism
  • 5. Surgery below the middle dimension, simple homotopy theory, and simple surgery theory
  • 6. Surgery in the middle dimension and the - theorem
  • 7. Addition of equivariant surgery obstructions
  • 8. The exact surgery sequence
  • 9. Computation of equivariant surgery obstruction groups
  • 10. Rational surgery obstructions
  • 11. Classification of group actions on disks
  • 12. Closed manifolds which are not homotopy equivalent to a finite CW-complexes