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G surgery I — A survey

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Bibliography

  1. Atiyah, M.F. and Bott, R., The Lefschetz fixed point theorem for Elliptic Complexes II, Ann. of Math. 86(1967), 451–491.

    Article  MathSciNet  MATH  Google Scholar 

  2. _____, Notes on the Lefschetz fixed point theorem for Elliptic Complexes II, Notes, Harvard University (1964).

    Google Scholar 

  3. Borel,A., et al., Seminar on transformation groups, Ann. of Math. Studies 46, Princeton University Press, (1960).

    Google Scholar 

  4. Bredon, G., Introduction to compact transformation groups, Academic Press, (1972).

    Google Scholar 

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

    MATH  Google Scholar 

  6. Dovermann, H., Addition in G surgery groups, to appear.

    Google Scholar 

  7. Dovermann, H. and Petrie, T., G surgery III, to appear.

    Google Scholar 

  8. Dress, A., Induction and structure theorems for orthogonal representations of finite groups, Ann. of Math. 102(1975), 291–325.

    Article  MathSciNet  MATH  Google Scholar 

  9. Feit, W., Characters of finite groups, Benjamin, New York (1967).

    MATH  Google Scholar 

  10. Montgomery, D. and Samelson, H., Fiberings with singularities, Duke J. Math. 13(1946), 51–56.

    Article  MathSciNet  MATH  Google Scholar 

  11. Montgomery, D. and Yang, C.T., A generalization of Milnor’s theorem and differentiable dihedral transformation groups, to appear.

    Google Scholar 

  12. Oliver, R. and Petrie, T., G surgery in the homotopy category and K0(Z(G)), to appear. Proceedings of Northwestern Topology Conference, 1977.

    Google Scholar 

  13. Petrie, T., Pseudoequivalences of G manifolds, Proc. Sym. Pure Math., 32 (1977), 119–163.

    MATH  Google Scholar 

  14. _____, G maps and the projective class group, Comm. Math. Helv. 39(1977), 611–626.

    MathSciNet  MATH  Google Scholar 

  15. _____, G Surgery II — Groups which act on a homotopy sphere with one fixed point, to appear.

    Google Scholar 

  16. _____, G Surgery IV — Semi-classical questions in transformation groups, to appear.

    Google Scholar 

  17. _____, G Surgery V, Infinite groups, to appear.

    Google Scholar 

  18. Petrie, T. and tom Dieck, T., Geometric modules over the Burnside ring, to appear.

    Google Scholar 

  19. tom Dieck, T., The Burnside ring of a compact Lie group I, Math. Ann. 215(1975), 235–250.

    Article  MathSciNet  MATH  Google Scholar 

  20. Wall, C.T.C., Surgery on compact manifolds, Academic Press, (1970).

    Google Scholar 

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Kenneth C. Millett

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© 1978 Springer-Verlag

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Petrie, T. (1978). G surgery I — A survey. In: Millett, K.C. (eds) Algebraic and Geometric Topology. Lecture Notes in Mathematics, vol 664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061700

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  • DOI: https://doi.org/10.1007/BFb0061700

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  • Print ISBN: 978-3-540-08920-9

  • Online ISBN: 978-3-540-35758-2

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