Skip to main content

Self-dual Yang-Mills fields

  • Conference paper
  • First Online:
Global Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 755))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atiyah, M. F., Hitchin, N. J., Drinfeld, V. G., Manin, Yu. I. Phys. Letters A 65(1978)185–187.

    Article  MathSciNet  Google Scholar 

  2. Atiyah, M. F., Hitchin, N. J., Singer, I. M. Self-duality in four-dimensional Riemannian geometry. To appear in Proc. Roy. Soc.

    Google Scholar 

  3. Atiyah, M. F., Jones, J. D. S. Commun. Math. Phys. 61 (1978)97–118.

    Article  MathSciNet  Google Scholar 

  4. Atiyah, M. F., Ward, R. S. Commun. Math. Phys. 55(1977)117–124.

    Article  MathSciNet  Google Scholar 

  5. Barth, W., Hulek, K. Monads and moduli of vector bundles. Preprint, Erlangen, 1978.

    Google Scholar 

  6. Belavin, A. A., Polyakov, A. M., Schwartz, A. S., Tyupkin, S. Phys. Letters B 59(1976)85–87.

    Article  MathSciNet  Google Scholar 

  7. Bernard, C. W., Christ, N. H., Guth. A. H., Weinberg, E. J. Instanton parameters for arbitrary gauge groups. Preprint, Columbia, 1977.

    Google Scholar 

  8. Christ, N. H., Weinberg, E. J., Stanton, N. K. General self-dual Yang-Mills solutions. Preprint, Columbia, 1978.

    Google Scholar 

  9. Corrigan, E. F., Fairlie, D. B., Templeton, S., Goddard, P. A Green's function for the general self-dual gauge field. Preprint, Ecole Normale Supérieure, Paris, 1978.

    Google Scholar 

  10. Hartshorne, R. Commun. Math. Phys. 59(1978)1–15.

    Article  MathSciNet  Google Scholar 

  11. Horrocks, G. Proc. London Math. Soc. 14(1964)689–713.

    Article  MathSciNet  Google Scholar 

  12. Jackiw, R., Nohl, C., Rebbi, C. Phys. Rev. D 15(1977)1642–1654.

    Article  Google Scholar 

  13. Jackiw, R., Rebbi, C. Phys Letters B 57(1977)189–192.

    Article  MathSciNet  Google Scholar 

  14. Kuranishi, M. New proof for the existence of locally complete families of complex structures, ‘Proceedings of the conference on complex analysis, Minneapolis, 1964', Springer-Verlag, New York(1965).

    Google Scholar 

  15. Nijenhuis, A., Woolf, W. Annals of Math. 77(1963)424–489.

    Article  MathSciNet  Google Scholar 

  16. Penrose, R. Reports on Mathematical Physics 12(1977)65–76.

    Article  MathSciNet  Google Scholar 

  17. Rawnsley, J. H. On the Atiyah-Hitchin-Drinfeld-Manin vanishing theorem for cohomology groups of instanton bundles. Preprint, Dublin Institute for Advanced Studies, 1978.

    Google Scholar 

  18. Schwarz, A. S. Phys. Letters B 67(1977)172–174.

    Article  Google Scholar 

  19. Serre, J.-P. Annals Inst. Fourier (Grenoble) 6(1956)1–42.

    Article  Google Scholar 

  20. Yang, C. N., Mills, R. Phys. Rev. 96(1954)191–195.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Miroslav Grmela Jerrold Eldon Marsden

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Rawnsley, J.H. (1979). Self-dual Yang-Mills fields. In: Grmela, M., Marsden, J.E. (eds) Global Analysis. Lecture Notes in Mathematics, vol 755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069809

Download citation

  • DOI: https://doi.org/10.1007/BFb0069809

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09703-7

  • Online ISBN: 978-3-540-38462-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics