Skip to main content

Cohomology of nilmanifolds

Part of the Lecture Notes in Mathematics book series (LNM,volume 1318)

Keywords

  • Exact Sequence
  • Spectral Sequence
  • Central Extension
  • Central Series
  • Cubical Complex

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   69.99
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. Cenkl, B.; Porter, R. Differential forms and torsion in the fundamental group, Advances in Math. 48(1983), 189–204.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Cenkl, B.; Porter, R. Lazard completion of a group and free differential graded algebra models over subrings of the rationals, Topology 23(1984), 445–464.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Cenkl, B.; Porter, R. Foundations of DeRham Theory, Lecture Notes in Mathematics, Norhteasten University, 1 (1987).

    Google Scholar 

  4. Lambe, L. Cohomology of principal G-bundles over a torus when H* (BG;R) is polynomial, (preprint).

    Google Scholar 

  5. Lambe, L; Priddy, S. Cohomology of nilmanifolds and torsion-free nilpotent groups, Trans. A.M.S. 273 (1982), 39–55

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Nomizu, K. On the cohomology of compact homogeneous spaces of nilpotent Lie groups, Ann. of Math. 59(1954), 531–538.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Serre, J.P. Lie algebras and Lie groups (1964).

    Google Scholar 

  8. Stallings, J. Homology and Central Series of Groups, Journal of Alg. 2(1965), 170–181.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Cenkl, B., Porter, R. (1988). Cohomology of nilmanifolds. In: Felix, Y. (eds) Algebraic Topology Rational Homotopy. Lecture Notes in Mathematics, vol 1318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077795

Download citation

  • DOI: https://doi.org/10.1007/BFb0077795

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19340-1

  • Online ISBN: 978-3-540-39204-0

  • eBook Packages: Springer Book Archive