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The algebraic tools

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Part of the Lecture Notes in Mathematics book series (LNM,volume 557)

Keywords

  • Exact Sequence
  • Vector Bundle
  • Commutative Diagram
  • Tubular Neighborhood
  • Cohomology Theory

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References

  1. Atiyah, M. F., K-Theory, Benjamin (1967).

    Google Scholar 

  2. _____, Vector Fields on Manifolds, Arbeitsgemeinschaft Fur Forschung Des Landes Nordrhein-Westfalen, Heft 200, (1969).

    Google Scholar 

  3. Atiyah, M. F., and Segal, G., The index of elliptic operators II, Annals of Math., 87 (1968) pp. 531–545.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. _____, Equivariant K theory and completion, J. Differential Geometry, 8 (1969) pp. 1–18.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Atiyah, M. F., and Singer, I., The index of elliptic operators I and III, Annals of Math, 87 (1968) pp. 484–530 and 546–604.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Bredon, G., Introduction to Compact Transformation Groups, Academic Press, (1972).

    Google Scholar 

  7. Lee, C. N., Equivariant homology theories, Proceedings of the Conference on Transformation Groups, Springer-Verlag, (1968), pp. 237–244.

    Google Scholar 

  8. Milnor, J., The Representation Rings of Some Classical Groups, Notes, Princeton University, (1963).

    Google Scholar 

  9. Petrie, T., Smooth S1 actions on homotopy complex projective spaces and related topics, Bull. A.M.S., Vol. 78, No. 2 (1972) pp. 105–153.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Segal, G., Equivariant K theory, Inst. Hautes E'tudes Sci. Publ. Math., No. 34 (1968) pp. 129–151.

    Google Scholar 

  11. Stewart, T. E., Lifting the action of a group in a fiber bundle, Bull. A.M.S., Vol. 66, (1960), pp. 129–132.

    CrossRef  MATH  Google Scholar 

  12. Su, J. C., Transformation groups on cohomology projective spaces, Trans. A.M.S., Vol. 106 (1963) pp. 305–318.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Vasquez, A., Poincare duality for KG(G/H), to appear.

    Google Scholar 

  14. Wasserman, A., Equivariant differential topology, Topology 8 (1969) pp. 127–150.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1976 Springer-Verlag

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Iberkleid, W., Petrie, T. (1976). The algebraic tools. In: Smooth S1 Manifolds. Lecture Notes in Mathematics, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091047

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  • DOI: https://doi.org/10.1007/BFb0091047

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08002-2

  • Online ISBN: 978-3-540-37551-7

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