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Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Non-self-dual Yang-Mills connections with nonzero Chern number

Author(s): Lorenzo Sadun; Jan Segert
Journal: Bull. Amer. Math. Soc. 24 (1991), 163-170.
MSC (1985): Primary 81E13; Secondary 34B15, 53C05, 58E30
MathSciNet review: 1067574
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References:

[ADHM] M. F. Atiyah, V. G. Drinfeld, N. J. Hitchin, and Y. I. Manin, Construction of instantons, Phys. Lett. 65A (1978), 185. MR 598562

[AJ] M. F. Atiyah and J. D. S. Jones, Topological aspects of Yang-Mills theory, Comm. Math. Phys. 61 (1978), 97. MR 503187

[ASSS1] J. E. Avron, L. Sadun, J. Segert, and B. Simon, Chern numbers, quaternions, and Berry's phases in Fermi systems, Comm. Math. Phys. 124 (1989), 595. MR 1014116

[ASSS2] J. E. Avron, L. Sadun, J. Segert, and B. Simon, Topological invariants in Fermi systems with time-reversal invariance, Phys. Rev. Lett. 61 (1989), 1329. MR 957875

[BLS] J. P Bourguignon, H. B. Lawson, and J. Simons, Stability and gap phenomena for Yang-Mills fields, Proc. Nat. Acad. Sci. U.S.A. 76 (1979), 1550; Stability and isolation phenomena for Yang-Mills equations, Comm. Math. Phys. 79 (1982), 189. MR 526178

[BoMo] G. Bor and R. Montgomery, SO(3) invariant Yang-Mills fields which are not self-dual, Proceedings of the MSI Workshop on Hamiltonian Systems, Transformation Groups, and Spectral Transform Methods, Montreal, Canada, October 1989. MR 1110384

[BPST] A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Yu. Tyupkin, Pseu-doparticle solutions of the Yang-Mills equations, Phys. Lett. B59 (1975), 85. MR 434183

[FU] D. Freed and K. Uhlenbeck, Instantons and four-manifolds, Springer-Verlag, New York, 1984. MR 757358

[I] M. Itoh, Invariant connections and Yang-Mills solutions, Trans. Amer. Math. Soc. 267(1981), 229. MR 621984

[JT] A. Jaffe and C. Taubes, Vortices and monopoles, Birkhäuser, Boston, 1980. MR 614447

[Ma1] Yu. Manin, New exact solutions and cohomology analysis of ordinary and supersymmetric Yang-Mills equations, Proc. Steklov Inst. Math. 165 (1984), 107. MR 752936

[Ma2] Yu. Manin, Gauge field theory and complex geometry, Springer-Verlag, Berlin, 1988. MR 954833

[P] T. Parker, Unstable Yang-Mills fields, preprint; Non-minimal Yang-Mills fields and dynamics, preprint.

[Pa] R. S. Palais, The principle of symmetric criticality, Comm. Math. Phys. 69 (1979), 19. MR 547524

[SS] L. Sadun and J. Segert, Chern numbers for fermionic quadrupole systems, J. Phys. A 22 (1989), L111. MR 984242

[SSU] L. M. Sibner, R. J. Sibner, and K. Uhlenbeck, Solutions to Yang-Mills equations which are not self-dual, Proc. Nat. Acad. Sci. U.S.A. 86 (1989), 8610. MR 1023811

[T1] C. H. Taubes, Stability in Yang-Mills theories, Comm. Math. Phys. 91 (1983), 235. MR 723549

[T2] C. H. Taubes, On the equivalence of the first and second order equations for gauge theories, Comm. Math. Phys. 75 (1980), 207. MR 581946

[Ur] H. Urakawa, Equivariant theory of Yang-Mills connections over Riemannian manifolds of cohomogeneity one, Indiana Univ. Math. J. 37 (1988), 753. MR 982829


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Additional Information:

DOI: 10.1090/S0273-0979-1991-15978-1
PII: S 0273-0979(1991)15978-1


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