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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

On the Yang-Mills-Higgs equations


Author: Clifford Henry Taubes
Journal: Bull. Amer. Math. Soc. 10 (1984), 295-297
MSC (1980): Primary 35Q20, 58G20, 81E10; Secondary 55Q52
MathSciNet review: 733700
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  • 1. A. Jaffe and C. H. Taubes, Vortices and monopoles, Birkhauser, 1980. MR 614447
  • 2. C. H. Taubes, The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on R. I, II, Comm. Math. Phys. 86 (1982), 257; ibid. Comm. Math. Phys. 86 (1982), 299. MR 676188
  • 3. C. H. Taubes, The existence of multi-monopole solutions to the non-abelian, Yang-Mills-Higgs equations for arbitrary, simple gauge groups, Comm. Math. Phys. 80 (1981), 343. MR 626705
  • 4. R. Ward, A Yang-Mills-Higgs monopole of charge 2, Comm. Math. Phys. 80 (1981), 137. MR 623155
  • 5. E. Corrigan and P. Goddard, An n-monopole with 4n--1 degrees of freedom, Comm. Math. Phys. 80 (1981), 575. MR 628513
  • 6. D. Groisser, SU(2) Yang-Mills theory on R, Harvard Univ. Preprint, 1983.
  • 7. E. B. Bogomol'nyi, The stability of classical solutions, Soviet J. Nuclear Phys. 24, (1976), 449. MR 443719
  • 8. N. J. Hitchin, Monopoles and geodesics, Comm. Math. Phys. 83 (1982), 579. MR 649818
  • 9. W. Nahm, All self-dual monopoles for arbitrary gauge group, TH. 3172-CERN, 1981 (preprint).
  • 10. N. J. Hitchin, On the construction of monopoles, Comm. Math. Phys. 89 (1983), 145. MR 709461
  • 11. C. H. Taubes, Path connected Yang-Mills moduli spaces (preprint). MR 755230
  • 12. C. H. Taubes, Stability in Yang-Mills theories, Comm. Math. Phys. (to appear). MR 723549
  • 13. C. H. Taubes, A min-max theory for the Yang-Mills-Higgs equations (forthcoming). MR 787116
  • 14. K. K. Uhlenbeck, Connections with L, Comm. Math. Phys. 83 (1982), 31. MR 648356

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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1984-15254-6
PII: S 0273-0979(1984)15254-6