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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Reducible Yang-Mills connections on Kähler surfaces and moment maps
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by Kai-Cheong Mong PDF
Proc. Amer. Math. Soc. 117 (1993), 221-226 Request permission

Abstract:

We determine the second-order approximation of the anti-self-duality equation around a reducible Yang-Mills connection on a compact $1$-connected Kähler surface.
References
  • M. F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A 308 (1983), no. 1505, 523–615. MR 702806, DOI 10.1098/rsta.1983.0017
  • S. K. Donaldson, Connections, cohomology and the intersection forms of $4$-manifolds, J. Differential Geom. 24 (1986), no. 3, 275–341. MR 868974, DOI 10.4310/jdg/1214440551
  • Shoshichi Kobayashi, Differential geometry of complex vector bundles, Publications of the Mathematical Society of Japan, vol. 15, Princeton University Press, Princeton, NJ; Princeton University Press, Princeton, NJ, 1987. Kanô Memorial Lectures, 5. MR 909698, DOI 10.1515/9781400858682
  • H. Blaine Lawson Jr., The theory of gauge fields in four dimensions, CBMS Regional Conference Series in Mathematics, vol. 58, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1985. MR 799712, DOI 10.1090/cbms/058
  • K. C. Mong, Polynomial invariants for $4$-manifolds of type $(1,\,n)$ and a calculation for ${S^2} \times {S^2}$, Quart. J. Math. Oxford (to appear).
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 117 (1993), 221-226
  • MSC: Primary 58D27; Secondary 32G13, 53C07
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1110550-7
  • MathSciNet review: 1110550