Skip to main content
SpringerLink
Log in

An equivariant surgery sequence and equivariant diffeomorphism and homeomorphism classification (A survey)

  • Equivariant Topology
  • Conference paper
  • First Online:
Book cover Topology Symposium Siegen 1979

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 788))

Partially supported by NSF grant NSF MCS-7905036.

Partially supported by NSF grant NSF MCS-7701623.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Assadi, Extensions of finite group actions from submanifolds of a disk, preprint (1979).

    Google Scholar 

  2. W. Browder and W.C. Hsiang, Some problems on homotopy theory, manifolds and transformation groups, Proceedings of Symposia in Pure Mathematics, Vol. 32 (II), (1978), 251–267.

    Article  MathSciNet  MATH  Google Scholar 

  3. W. Browder and T. Petrie, Diffeomorphisms of manifolds and semifree actions on homotopy spheres, Bull. of the A.M.S. Vol. 77 (1971), 160–163.

    Article  MathSciNet  MATH  Google Scholar 

  4. W. Browder and F. Quinn, A surgery theory for G manifolds and stratified sets, Manifolds-Tokyo, University of Tokyo Press, (1973).

    Google Scholar 

  5. D. Burghelea, R. Lashof, and M. Rothenberg, Groups of automorphisms of manifolds, L.N.M. Vol. 473, (1975).

    Google Scholar 

  6. K.H. Dovermann, Addition of equivariant surgery obstructions, to appear in proceedings of the topology conference in Waterloo, Ontario, Springer LNM (1979).

    Google Scholar 

  7. K.H. Dovermann and T. Petrie, G Surgery II, to appear.

    Google Scholar 

  8. K.H. Dovermann and M. Rothenberg, An equivariant surgery sequence and equivariant diffeomorphism classification, to appear.

    Google Scholar 

  9. L. Jones, The converse to the fixed point theorem of P.A. Smith:I, Ann. of Math. 14(1971), 52–68.

    Article  MathSciNet  Google Scholar 

  10. L. Jones, The non simply connected characteristic variety theorem, Proceedings of Symposia in Pure Mathematics, Vol. 32, (1978), 131–140.

    Article  Google Scholar 

  11. R. Lashof and M. Rothenberg, G smoothing theory, Proceedings of Symposia in Pure Mathematics, Vol. 32, (1978), 211–266.

    Article  MathSciNet  MATH  Google Scholar 

  12. T. Petrie, Pseudo equivalences of G manifolds, Proceedings of Symposia in Pure Mathematics, Vol. 32, (1978), 169–210.

    Article  MathSciNet  Google Scholar 

  13. M. Rothenberg, Torsion invariants and finite transformation groups, Proceedings of Symposia in Pure Mathematics, Vol. 32, (1978), 267–311.

    Article  MathSciNet  MATH  Google Scholar 

  14. M. Rothenberg, Differentiable group actions on spheres, Proc. Adv. Study Inst. Alg. Top. (1970).

    Google Scholar 

  15. S. Smale, On the structure of 5 manifolds, Ann. of Math., 75(1962), 38–46.

    Article  MathSciNet  MATH  Google Scholar 

  16. C.T.C. Wall, Surgery on compact manfolds, Academic Press (1970).

    Google Scholar 

  17. C.T.C. Wall, Finiteness conditions for CW-complexes, Ann. of Math. 81(1965), 56–69.

    Article  MathSciNet  MATH  Google Scholar 

  18. C.T.C. Wall, Classification of hermitian forms. VI Group rings, Ann. of Math. 103(1976), 1–80.

    Article  MathSciNet  MATH  Google Scholar 

  19. L. Taylor and B. Williams, Surgery spaces, formulae and structure, preprint.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Chicago, USA

    Karl Heinz Dovermann & Melvin Rothenberg

  2. University of California, Berkeley

    Melvin Rothenberg

Authors
  1. Karl Heinz Dovermann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Melvin Rothenberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ulrich Koschorke Walter D. Neumann

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Dovermann, K.H., Rothenberg, M. (1980). An equivariant surgery sequence and equivariant diffeomorphism and homeomorphism classification (A survey). In: Koschorke, U., Neumann, W.D. (eds) Topology Symposium Siegen 1979. Lecture Notes in Mathematics, vol 788. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099249

Download citation

  • DOI: https://doi.org/10.1007/BFb0099249

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09968-0

  • Online ISBN: 978-3-540-39187-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation