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Yang mills instantons, geometrical aspects

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Invariant Wave Equations

Part of the book series: Lecture Notes in Physics ((LNP,volume 73))

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References

  1. G. 't HOOFT Phys. Rev. Lett. 37, 8 (1976)

    Google Scholar 

  2. G. 't HOOFT Phys. Rev. D 14, 3432 (1976)

    Google Scholar 

  3. R. JACKIW, C. REBBI Phys. Rev. Lett. 37, 172 (1976)

    Google Scholar 

  4. [2b]G.G. CALLAN, R. DASHEN, D.J. GROSS Phys. Lett. B 63, 334 (1976)

    Google Scholar 

  5. S. COLEMAN “Classical Lumps and their Quantum Descendants”, International School of Subnuclear Physics, Ettore Majorana, Acad.Press New York, 1975 (Vol. 11)

    Google Scholar 

  6. A. BELAVIN, A. POLYAKOV, A.S. SCHWARZ, Y. TYUPKIN Phys. Lett. B 59, 85 (1975)

    Google Scholar 

  7. R. JACKIW, C. REBBI Phys. Rev. D 14, 517 (1976)

    Google Scholar 

  8. [6] G. 't HOOF unpublished

    Google Scholar 

  9. R. JACKIW, C. NOHL, C. REBBI Phys. Rev. D 15, 1642 (1977)

    Google Scholar 

  10. R. JACKIW, C. REBBI Phys. Rev. Lett., B 67, 189 (1977)

    Google Scholar 

  11. L.S. BROWN, R.D. CARLITZ, C. LEE University of Washington preprint, RLO 1388, 724, April 1977 R. JACKIW, C. REBBI unpublished N.K. NIELSEN, B. SCHROER CERN preprint TH 2317, May 1977

    Google Scholar 

  12. S. COLEMAN unpublished

    Google Scholar 

  13. C.P. KORTHALS ALTES private communication

    Google Scholar 

  14. A.S. SCHWARZ Phys. Lett. B 67, 172 (1977)

    Google Scholar 

  15. A.S. SCHWARZ private communication and JINR preprint D2-9788, Proceedings of the Alushta Symposium, April 1976.

    Google Scholar 

  16. M.F. ATIYAH, N.J. HITCHIN, I.M. SINGER Oxford preprint, 1977 Proc. Nat. Ac. Sci. USA

    Google Scholar 

  17. M.F. ATIYAH, R.S. WARD Comm.Math.Phys. 55, 117 (1977)

    Google Scholar 

  18. R. S. WARD Phys.Rev.Lett. A 61, 81 (1977)

    Google Scholar 

  19. L.P. EISENHARDT Riemannian Geometry

    Google Scholar 

  20. T. EGUCHI, P.G.O. FREUND Phys.Rev.Lett. 37, 1251 (1976)

    Google Scholar 

  21. A. BELAVIN, D.E. BURLANKOV Phys.Rev.Lett. A 58, 7 (1976)

    Google Scholar 

  22. C.P. KORTHALS ALTES, J. MADORE, J.L. RICHARD unpublished

    Google Scholar 

  23. For a brief summary, see R. STORA in Cargsé Lectures, 1976

    Google Scholar 

  24. N. STEENROD The topology of fibre bundles, Princeton University Press, Princeton, 1974

    Google Scholar 

  25. S. KOBAYASHI, K. NOMIZU Foundations of Differential Geometry, Interscience, 1963, vol. I, p. 103.

    Google Scholar 

  26. R. DURIEUX Thèse de 3e cycle, Marseille, in preparation

    Google Scholar 

  27. T. YONEYA City College preprint (1977)

    Google Scholar 

  28. W. GREUB, S. HALPERIN, R. VANSTONE Connections, Curvaturen and Cohomology, Acad. Press 1976, vol. II, p. 476

    Google Scholar 

  29. J.W. MILNOR, J.D. STASCHEFF Characteristic Classes, Annals of Mathematics Studies (P.U.P.) n° 76, p. 245

    Google Scholar 

  30. R.S. PALAIS Seminar on the Atiyah Singer Index Theorem, Ann.Math.Stud., n° 57: Eq(2), p. 2, Eq.(6), p. 31, § 5.2, p. 42, § 3, p. 32–39

    Google Scholar 

  31. R.O. WELLS, Jr. Differential Analysis on Complex Manifolds, Prentice Hall 1973

    Google Scholar 

  32. I. VAISMAN Cohomology and Differential Forms, M. Dekker 1973, pp. 256, 269 (for the Bochner Lichnerowicz theorem).

    Google Scholar 

  33. Cartan Schwarz Seminar, Secrétariat Mathématique, 1963–1964, Théorème d'Atiyah Singer sur l'indice d'un opérateur différentiel elliptique, Exposés 18, 19, T.2.

    Google Scholar 

  34. P.B. GILKEY The Index Theorem and the Heat Equation, Mathematical Lecture Series, vol. 4, publish or perish, 1974.

    Google Scholar 

  35. Ph. A. GRIFFITHS in Proceedings of the Conference on Complex Analysis, Minneapolis 1964, Springer 1965, pp. 113 and ff. Especially Th.2.1, Th.2.2. A. KUMPERA, D. SPENCER Lie Equations I, General Theory, Ann.Math.Studies, n° 73 (1972)

    Google Scholar 

  36. M. ATIYAH, R. BOTT, V.K. PATODI Invent. Math. 19, 279, (1973)

    Google Scholar 

  37. M. BERGER, P. GAUDUCHON, E. MAZET Le spectre d'une variété Riemannienne, Springer Lecture Notes in Mathematics, vol. 194.

    Google Scholar 

  38. S.I. GOLDBERG Curvature and Homology, Ac.Press, New York (1962)

    Google Scholar 

  39. J. MADORE unpublished

    Google Scholar 

  40. M.F. ATIYAH and R.S. WARD Instantons and Algebraic Geometry, Comm.Math.Phys., 55, 117 (1977)

    Google Scholar 

  41. R.S. WARD On Self Dual Gauge Fields, Phys.Lett. A 61, 81 (1977)

    Google Scholar 

  42. R. PENROSE, M.A.H. Mac CALLUM “Twistor Theory...”, Physics Reports 6, 241 (1972)

    Google Scholar 

  43. A. BELAVIN, A. POLYAKOV JETP Letters 22, 303 (1975)

    Google Scholar 

  44. S. KOBAYASHI, K. NOMIZU Foundations of Differential Geometry, Vol. II, Ch. IX.

    Google Scholar 

  45. H. SCHWERDTFEGER Introduction to Linear Algebra and the Theory of Matrices, Noordhoff 1961, Appendix A.

    Google Scholar 

  46. R. PENROSE General Relativity and Gravitation 7, 31 (1976)

    Google Scholar 

  47. C.N. YANG Condition of Self-Duality for SU2 Gauge Fields..., Phys.Rev.Lett. 38, 1377 (1977)

    Google Scholar 

  48. A.A. BELAVIN, V.E. ZAKHAROV Phys.Lett.

    Google Scholar 

  49. I.M. SINGER Lecture given at the International CNRS Colloquium on Operator Algebras and their Mathematical Applications, Marseille June 20–25, 1977, and private communication

    Google Scholar 

  50. W. BARTH Math. Ann. 226, 125 (1977)

    Google Scholar 

  51. I.M. SINGER private communication A. LICHNEROWICZ private communication

    Google Scholar 

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Authors and Affiliations

  1. Centre de Physique Théorique, CNRS, Marseille

    R. Stora

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  1. R. Stora
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Giorgio Velo Arthur S. Wightman

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© 1978 Springer-Verlag

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Stora, R. (1978). Yang mills instantons, geometrical aspects. In: Velo, G., Wightman, A.S. (eds) Invariant Wave Equations. Lecture Notes in Physics, vol 73. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0032337

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  • DOI: https://doi.org/10.1007/BFb0032337

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  • Print ISBN: 978-3-540-08655-0

  • Online ISBN: 978-3-540-35929-6

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