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Smooth toral actions on principal bundles and characteristic classes

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1410))

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References

  1. N. ALAMO: Acciones de toros sobre fibrados principales y una fórmula de residuos para algunas clases características. Thesis, University of Málaga (Spain) 1987.

    Google Scholar 

  2. P. BAUM and J. CHEEGER: Infinitesimal isometries and Pontrjagin numbers. Topology 8 (1969), 173–193.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. BOTT: Vector fields and characteristic numbers. Michigan Math.J.14 (2), (1967).

    Google Scholar 

  4. G. E. BREDON: Introduction to Compact Transformation Groups. Academic Press, New York (1972).

    MATH  Google Scholar 

  5. J. DACCACH and A. WASSERMAN: Stiefel-Whitney classes and toral actions. Topology and its applications 21 (1985), 19–26.

    Article  MathSciNet  MATH  Google Scholar 

  6. F. GOMEZ: A residue formula for characteristic classes. Topology 21 (1) (1982), 101–124.

    Article  MathSciNet  MATH  Google Scholar 

  7. F. GOMEZ: Blowing up fixed points.Pub.Mat.Universidad Autónoma de Barcelona 25 (1981).

    Google Scholar 

  8. F. GOMEZ: Cohomology theory for networks and a residue formula for characteristic classes. Ph. D. Thesis. University of Toronto (Canada), 1978.

    Google Scholar 

  9. F. GOMEZ: De Rham homology for networks of manifolds. Israel J. Math. 54, 1, (1986), 110–128.

    Article  MathSciNet  MATH  Google Scholar 

  10. W. GREUB, S. HALPERIN and R. VANSTONE: Connections, Curvature and Cohomology. Vol I. Academic Press (1972).

    Google Scholar 

  11. W. GREUB, S. HALPERIN and R. VANSTONE: Connections, Curvature and Cohomology. Vol. II. Academic Press (1973).

    Google Scholar 

  12. S. HALPERIN: Real cohomology and smooth transformation groups. Ph.D.Thesis. University of Cornell (U.S.A.), 1970.

    Google Scholar 

  13. S. KOBAYASHI: Fixed points of isometries, Nagoya. Math. J. 13 (1958), 63–68.

    Article  MathSciNet  MATH  Google Scholar 

  14. J. S. PASTERNAK: Foliations and compact Lie group actions. Comm. Math. Helv. 46 (1971), 467–477.

    Article  MathSciNet  Google Scholar 

  15. E. H. SPANIER: Algebraic Topology, Mc Graw Hill. (1966).

    Google Scholar 

  16. A. WASSERMAN: Equivariant differential topology. Topology 8 (1969), 127–150.

    Article  MathSciNet  MATH  Google Scholar 

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Francisco J. Carreras Olga Gil-Medrano Antonio M. Naveira

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© 1989 Springer-Verlag

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Alamo, N., Gómez, F. (1989). Smooth toral actions on principal bundles and characteristic classes. In: Carreras, F.J., Gil-Medrano, O., Naveira, A.M. (eds) Differential Geometry. Lecture Notes in Mathematics, vol 1410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086408

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  • DOI: https://doi.org/10.1007/BFb0086408

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  • Print ISBN: 978-3-540-51885-3

  • Online ISBN: 978-3-540-46858-5

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