Skip to main content
Log in

Homology of the double and triple loop space of SO(n)

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Atiyah, M.F., Jones, J.D.S.: Topological aspects of Yang-Mills theory. Comm. Math. Phys.61, 97–118 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  2. Bott, R.: An application of the Morse theory to the topology of Lie groups. Bull. Soc. Math. France84, 251–281 (1956)

    MATH  MathSciNet  Google Scholar 

  3. Boyer, C., Mann, B.: Homology operations on instantons. J. Diff. Geom.28, 423–465 (1988)

    MATH  MathSciNet  Google Scholar 

  4. Boyer, C., Mann, B., Waggoner, D.: On the homology ofSU (n) instantons. Trans. Am. Math. Soc.323, 529–561 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  5. Cohen, F.R., Lada, T., May, J.P.: The homology of iterated loop spaces. Lect. Notes. Math. Vol.533, Berlin Heidelberg New York: Springer 1976

    MATH  Google Scholar 

  6. Harris, B.: On the homotopy groups of the classical groups. Ann. Math.74, 407–413 (1961)

    Article  Google Scholar 

  7. May, J., Zabrodsky, A.:H* (Spin(n)) as a Hopf algebra. J. Pure Appl. Algebra10, 193–200(1977)

    Article  MathSciNet  Google Scholar 

  8. Ravenel, D.C.: The homology and Morava K-theories ofΩ 2SU(n). Forum Math.5, 1–21 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  9. Waggoner, D.: Loop spaces and the classical unitary groups. Ph.D. Thesis, University of Kentucky(1985)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Choi, Y. Homology of the double and triple loop space of SO(n). Math Z 222, 59–80 (1996). https://doi.org/10.1007/BF02621858

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02621858

Keywords

Navigation