Skip to main content

Bounds for characteristic numbers of flat bundles

Characteristic Classes And Bordism

Part of the Lecture Notes in Mathematics book series (LNM,volume 763)

Keywords

  • Simple Group
  • Characteristic Number
  • Euler Number
  • Maximal Compact Subgroup
  • Cartan Decomposition

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.L. Dupont, Curvature and characteristic classes (Lecture Notes in Mathematics 640), Springer-Verlag, Berlin-Heidelberg-New York.

    Google Scholar 

  2. J.L. Dupont, Simplicial de Rham cohomology and characteristic classes of flat bundles, Topology 15(1976), 233–245.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. J.L. Dupont et A. Guichardet, A propos de L'article "Sur la cohomologie reelle des groupes de Lie simples reels", Ann.Sci.École Norm.Sup., 11(1978), 277–292.

    MathSciNet  MATH  Google Scholar 

  4. A. Guichardet et D. Wigner, Sur la cohomologie reelle des groupes Lie simples reels, Ann.Sci.École Norm.Sup., 11(1978),293–296.

    MathSciNet  MATH  Google Scholar 

  5. S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York-London, 1962.

    MATH  Google Scholar 

  6. H. Hopf, Fundamentalgruppe und zweite Bettische Gruppe, Comment.Math.Helv. 14(1941/42), 257–309.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. S. MacLane, Homology (Grundlehren Math.Wissensch.114), Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963.

    CrossRef  MATH  Google Scholar 

  8. J.W. Milnor, On the existence of a connection with curvature zero, Comment.Math.Helv.32(1958), 215–223.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. D. Sullivan, A generalization of Milnor's inequality concerning affine foliations and affine manifolds, Comment.Math.Helv. 51(1976), 183–189.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Dupont, J.L. (1979). Bounds for characteristic numbers of flat bundles. In: Dupont, J.L., Madsen, I.H. (eds) Algebraic Topology Aarhus 1978. Lecture Notes in Mathematics, vol 763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088080

Download citation

  • DOI: https://doi.org/10.1007/BFb0088080

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09721-1

  • Online ISBN: 978-3-540-38520-2

  • eBook Packages: Springer Book Archive