Skip to main content

Instantons and homotopy

Part of the Lecture Notes in Mathematics book series (LNM,volume 1370)

Keywords

  • Modulus Space
  • Natural Inclusion
  • Admissible Sequence
  • Instanton Number
  • Homology Operation

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. M.F. Atiyah, The Geometry of Yang-Mills Fields, Scuola Normale Sup., Pisa, 1979.

    Google Scholar 

  2. M.F. Atiyah, Instantons in Two and Four Dimensions, Comm. Math. Phys., 93 (1984), 437–451.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M.F. Atiyah and R. Bott, The Yang-Mills Equations over Riemann Surfaces, Philos. Trans. Roy. Soc. London, Ser.A, 308 (1982), 523–615.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. M.F. Atiyah, V.G. Drinfeld, N.J. Hitchin and Y.I. Manin, Construction of Instantons, Phys. Lett. A, 65 (1978), 185–187.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. M.F. Atiyah, N.J. Hitchin and I. Singer, Self-duality in Four Dimensional Riemannian Geometry, Proc. Roy. Soc. London, Ser. A, 362 (1978), 425–461.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M.F. Atiyah and J.D. Jones, Topological Aspects of Yang-Mills Theory, Comm. Math. Phys., 61 (1978), 97–118.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. M.F. Atiyah and R.S. Ward, Instantons and Algebraic Geometry, Comm. Math. Phys., 55 (1977), no. 2, 117–124.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. J.M. Boardman and R.M. Vogt, Homotopy Everything H-spaces, Bul. A.M.S., 79 (1973), 1236–1241.

    CrossRef  MATH  Google Scholar 

  9. C.P. Boyer and B.M. Mann, Homology Operations on Instantons, J. Diff. Geo. 28 (1988), 423–465.

    MathSciNet  MATH  Google Scholar 

  10. F.R. Cohen, T.J. Lada and J.P. May, The Homology of Iterated Loop Spaces, L.N.M. 533 (1976), Springer-Verlag.

    Google Scholar 

  11. S.K. Donaldson, An Application of Gauge Theory to Four Dimensional Topology, J. Diff. Geo., 18 (1983), 279–315.

    MathSciNet  MATH  Google Scholar 

  12. S.K. Donaldson, Anti-Self-Dual Yang-Mills Connections over Complex Algebraic Surfaces and Stable Vector Bundles, Proc. London Math. Soc., 50 (1) (1985), 1–26.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. S.K. Donaldson, La Topologie Differentielle des Surfaces Complexes, C.R. Acad. Sc. Paris Ser. I Math., 301 (1985), 317–320.

    MathSciNet  MATH  Google Scholar 

  14. S.K. Donaldson, Connections, Cohomology and the Intersection Forms of 4-Manifolds, J. Diff. Geo., 24 (1986), 275–341.

    MathSciNet  MATH  Google Scholar 

  15. R. Fintushel and R. Stern, SO(3)-Connections and the Topology of Four-Manifolds, J. Diff. Geo., 20 (2), (1984), 523–539.

    MathSciNet  MATH  Google Scholar 

  16. R. Fintushel and R. Stern, Pseudofree Orbifolds, Ann. Math., 122 (1985), 335–364.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. D. Freed and K.K. Uhlenbeck, Instantons and Four-Manifolds, Springer-Verlag, New York, 1984.

    CrossRef  MATH  Google Scholar 

  18. H. B. Lawson, The Theory of Gauge Fields in Four Dimensions, A.M.S., CBMS 58 (1985).

    Google Scholar 

  19. J.P. May, The Geometry of Iterated Loop Spaces, L.N.M. 271 (1972), Springer-Verlag.

    Google Scholar 

  20. R.L. Mills and C.N. Yang, Conservation of Isotopic Spin and Isotopic Gauge Invariance, Phys. Rev., 96 (1954), 191.

    CrossRef  MathSciNet  MATH  Google Scholar 

  21. G. Segal, Configuration Spaces and Iterated Loop-Spaces, Invent. Math., 21 (1973), 213–221.

    CrossRef  MathSciNet  MATH  Google Scholar 

  22. I.M. Singer, Some Remarks on the Gribov Ambiguity, Comm. Math. Phys., 60 (1978), 7–12.

    CrossRef  MathSciNet  MATH  Google Scholar 

  23. C.H. Taubes, Self-Dual Connections on Non-Self-Dual 4-Manifolds, J. Diff. Geo., 17 (1982), 139–170.

    MathSciNet  MATH  Google Scholar 

  24. C.H. Taubes, Path-Connected Yang-Mills Moduli Spaces, J. Diff. Geo., 19 (1984), 337–392.

    MathSciNet  MATH  Google Scholar 

  25. C.H. Taubes, Self-Dual Connections on 4-Manifolds with Indefinite Intersection Matrix, J. Diff. Geo., 19 (1984), 517–560.

    MathSciNet  MATH  Google Scholar 

  26. C.H. Taubes, The Stable Topology of Self-Dual Moduli Spaces, preprint (1986), Harvard University.

    Google Scholar 

  27. G.’t Hooft, On the Phase Transition Toward Permanent Quark Confinement.

    Google Scholar 

  28. K.K. Uhlenbeck, Connections with L p -Bounds on Curvatures, Comm. Math. Phys., 83 (1982), 31–42.

    CrossRef  MathSciNet  MATH  Google Scholar 

  29. K.K. Uhlenbeck, Removable Singularities in Yang-Mills Fields, Comm. Math. Phys., 83 (1982), 11–30.

    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

© 1989 Springer-Verlag

About this paper

Cite this paper

Boyer, C.P., Mann, B.M. (1989). Instantons and homotopy. In: Carlsson, G., Cohen, R., Miller, H., Ravenel, D. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085220

Download citation

  • DOI: https://doi.org/10.1007/BFb0085220

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51118-2

  • Online ISBN: 978-3-540-46160-9

  • eBook Packages: Springer Book Archive