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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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Additional information
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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