Singular Sobolev connections with holonomy

Sibner, L. M.; Sibner, R. J.

doi:10.1090/S0273-0979-1988-15703-5

Singular Sobolev connections with holonomy
HTML articles powered by AMS MathViewer

by L. M. Sibner and R. J. Sibner PDF

Bull. Amer. Math. Soc. 19 (1988), 471-473

References

M. F. Atiyah, Magnetic monopoles in hyperbolic spaces, Vector bundles on algebraic varieties (Bombay, 1984) Tata Inst. Fund. Res. Stud. Math., vol. 11, Tata Inst. Fund. Res., Bombay, 1987, pp. 1–33. MR 893593
Peter J. Braam, Magnetic monopoles on three-manifolds, J. Differential Geom. 30 (1989), no. 2, 425–464. MR 1010167
A. Chakrabarti, Spherically and axially symmetric $\textrm {SU}(N)$ instanton chains with monopole limits, Nuclear Phys. B 248 (1984), no. 1, 209–252. MR 776371, DOI 10.1016/0550-3213(84)90594-7
Andreas Floer, Monopoles on asymptotically Euclidean $3$-manifolds, Bull. Amer. Math. Soc. (N.S.) 16 (1987), no. 1, 125–127. MR 866030, DOI 10.1090/S0273-0979-1987-15485-1
Peter Forgács, Zalán Horváth, and László Palla, Exact, fractionally charged self-dual solution, Phys. Rev. Lett. 46 (1981), no. 6, 392–394. MR 656458, DOI 10.1103/PhysRevLett.46.392
Peter Forgács, Zalán Horváth, and László Palla, One can have noninteger topological charge, Z. Phys. C 12 (1982), no. 4, 359–360. MR 658870, DOI 10.1007/BF01557580
L. M. Sibner, Removable singularities of Yang-Mills fields in $\textbf {R}^{3}$, Compositio Math. 53 (1984), no. 1, 91–104. MR 762308
P. D. Smith, Removable singularities for the Yang-Mills-Higgs equations in two dimensions, Ann. Inst. H. Poincaré C Anal. Non Linéaire 7 (1990), no. 6, 561–588 (English, with French summary). MR 1079572, DOI 10.1016/S0294-1449(16)30281-5
L. M. Sibner and R. J. Sibner, Removable singularities of coupled Yang-Mills fields in $\textbf {R}^{3}$, Comm. Math. Phys. 93 (1984), no. 1, 1–17. MR 737461, DOI 10.1007/BF01218636
Karen K. Uhlenbeck, Connections with $L^{p}$ bounds on curvature, Comm. Math. Phys. 83 (1982), no. 1, 31–42. MR 648356, DOI 10.1007/BF01947069
Karen K. Uhlenbeck, Removable singularities in Yang-Mills fields, Comm. Math. Phys. 83 (1982), no. 1, 11–29. MR 648355, DOI 10.1007/BF01947068