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Projective surgery obstructions on closed manifolds

Part of the Lecture Notes in Mathematics book series (LNM,volume 967)

Keywords

  • Irreducible Character
  • Wreath Product
  • Closed Manifold
  • Primitive Character
  • Surgery Problem

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References

  1. W. Browder and G.R. Livesay, "Fixed-point free involutions on homotopy spheres", Tohoku Math. J. 25(1973), 69–88.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. S.E. Cappell and J.L. Shaneson, "Pseudo-free actions I", Algebraic Topology: Aarhus 1978, Springer LN 763(1979), 397–447.

    Google Scholar 

  3. S.E. Cappell and J.L. Shaneson, "A counter-example on the oozing problem for closed manifolds". Algebraic Topology: Aarhus 1978, Springer LN 763(1979), 627–634.

    MathSciNet  Google Scholar 

  4. W. Feit, Characters of Finite Groups, W.A. Benjamin, New York 1967.

    MATH  Google Scholar 

  5. I. Hambleton and R.J. Milgram, "The surgery obstruction groups for finite 2-groups". Invent. Math. 61(1980), 33–52.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. S. Lopez de Medrano, Involutions on Manifolds Ergebnisse der Mathematik, Band 59, Springer-Verlag, New York-Heidelberg-Berlin 1971.

    CrossRef  Google Scholar 

  7. S. Maumary, "Proper surgery groups and Wall-Novikov groups". Proc. of 1972 Battelle Conf. on Algebraic K-Theory, Vol. III, Springer LN 343 (1973), 526–539.

    MathSciNet  MATH  Google Scholar 

  8. E.K. Pedersen and A. Ranicki, "Projective surgery theory", Topology 19(1980), 239–254.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. F. Quinn, "A geometric formulation of surgery". Proc. of Georgia Conf. on Topology and Manifolds (1969), 500–512.

    Google Scholar 

  10. A. Ranicki, "The algebraic theory of surgery I", Proc. London Math. Soc. (3) 40(1980), 87–192.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. A. Ranicki, "The total surgery obstruction", Algebraic Topology: Aarhus 1978, Springer LN 763(1979), 275–315.

    MathSciNet  Google Scholar 

  12. A. Ranicki, "Exact sequences in the algebraic theory of surgery", preprint (1980).

    Google Scholar 

  13. L. Taylor, "Surgery on paracompact manifolds". Berkeley Ph.D. Thesis (1972).

    Google Scholar 

  14. L. Taylor and B. Williams, "Surgery on closed manifolds", preprint (1980).

    Google Scholar 

  15. C.T.C. Wall, Surgery on Compact Manifolds. Academic Press: London, New York 1970.

    MATH  Google Scholar 

  16. C.T.C. Wall, "Formulae for surgery obstructions", Topology 15 (1976), 189–210.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1982 Springer-Verlag

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Hambleton, I. (1982). Projective surgery obstructions on closed manifolds. In: Dennis, R.K. (eds) Algebraic K-Theory. Lecture Notes in Mathematics, vol 967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061900

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  • DOI: https://doi.org/10.1007/BFb0061900

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11966-1

  • Online ISBN: 978-3-540-39556-0

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