Compactness of the moduli space of Yang-Mills connections in higher dimensions

Hiraku NAKAJIMA

doi:10.2969/jmsj/04030383

Hiraku NAKAJIMA

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JOURNAL FREE ACCESS

1988 Volume 40 Issue 3 Pages 383-392

DOI https://doi.org/10.2969/jmsj/04030383

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Published: 1988 Received: November 17, 1986 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. P. Bourguignon and H. B. Lawson, Jr., Stability and isolation phenomena for Yang-Mills fields, Comm. Math. Phys., 79 (1982), 189-230.
2) S. K. Donaldson, An application of gauge theory to 4-dimensional topology, J. Diff. Geom., 18 (1983), 279-315.
3) D. Gilbarg and N. S. Trudinger, Partial differential equations of second order, second edition, Springer, 1983.
4) P. Price, A monotonicity formula for Yang-Mills fields, Manuscriptia Math., 43 (1983), 131-166.
5) R. M. Schoen, Analytic aspects of the harmonic map problem, Seminar on Nonlinear Partial Differential Equations, ed. S. S. Chern, Springer, 1985, pp. 321-358.
6) S. Sedlacek, A direct method for minimizing the Yang-Mills functional, Comm. Math. Phys., 86 (1982), 512-528.
7) K. K. Uhlenbeck, Removable singularities for Yang-Mills fields, Comm. Math. Phys., 83 (1982), 11-29.
8) K. K. Uhlenbeck, Connections with L_p-bounds on curvature, Comm. Math. Phys., 83 (1982), 31-42.

Right : [1] J. P. Bourguignon and H. B. Lawson, Jr., Stability and isolation phenomena for Yang-Mills fields, Comm. Math. Phys., 79 (1982), 189-230.
[2] S. K. Donaldson, An application of gauge theory to 4-dimensional topology, J. Diff. Geom., 18 (1983), 279-315.
[3] D. Gilbarg and N. S. Trudinger, Partial differential equations of second order, second edition, Springer, 1983.
[4] P. Price, A monotonicity formula for Yang-Mills fields, Manuscriptia Math., 43 (1983), 131-166.
[5] R. M. Schoen, Analytic aspects of the harmonic map problem, Seminar on Nonlinear Partial Differential Equations, ed. S. S. Chern, Springer, 1985, pp. 321-358.
[6] S. Sedlacek, A direct method for minimizing the Yang-Mills functional, Comm. Math. Phys., 86 (1982), 512-528.
[7] K. K. Uhlenbeck, Removable singularities for Yang-Mills fields, Comm. Math. Phys., 83 (1982), 11-29.
[8] K. K. Uhlenbeck, Connections with L_p-bounds on curvature, Comm. Math. Phys., 83 (1982), 31-42.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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