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

Singular Sobolev connections with holonomy

Author(s): L. M. Sibner; R. J. Sibner
Journal: Bull. Amer. Math. Soc. 19 (1988), 471-473.
MSC (1985): Primary 35J60, 53C80
MathSciNet review: 956602
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References:

[A] M. F. Atiyah, Magnetic monopoles in hyperbolic spaces, Vector Bundles on Algebraic Varieties, Tata Institute of Fundamental Research, Bombay (1984), 1-33. MR 893593

[B] P. J. Braam, Magnetic monopoles on three-manifolds, J. Differential Geom. (to appear). MR 1010167

[C] A. Chakrabarti, Spherically and axially symmetric SU(N) instanton chains with monopole limits, Nuclear Physcis B248 (1984), 209-252. MR 776371

[F] A. Floer, Monopoles on asymptotically euclidean 3-manifolds, Bull. Amer. Math. Soc. (NS) 16 (1987), 125-127. MR 866030

[FH1] P. Forgacs, Z. Horvath and L. Palla, An exact fractionally charged self dual solution, Phys. Rev. Lett. 46 (1981), 392. MR 656458

[FH2] P. Forgacs, Z. Horvath and L. Palla, One can have noninteger topological charge, Z. Phys. C-Particles and Fields 12 (1982), 359-360. MR 658870

[S] L. M. Sibner, Removable singularities of Yang-Mills fields in R, Compositio Math. 53 (1984), 91-104. MR 762308

[Sm] P. D. Smith, Removable singularities for the Yang-Mills-Higgs equations in two dimensions, preprint. MR 1079572

[SS] L. M. Sibner and R. J. Sibner, Removable singularities of coupled Yang-Mills fields in R, Comm. Math. Phys. 93 (1984), 1-17. MR 737461

[U1] K. Uhlenbeck, Connections with L, Comm. Math. Phys. 83 (1982), 31-42. MR 648356

[U2] L. M. Sibner and R. J. Sibner, Removable singularities in Yang-Mills fields, Comm. Math. Phys. 83 (1982), 11-29. MR 648355


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Additional Information:

DOI: 10.1090/S0273-0979-1988-15703-5
PII: S 0273-0979(1988)15703-5


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