Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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



Reducible Yang-Mills connections on Kähler surfaces and moment maps

Author: Kai-Cheong Mong
Journal: Proc. Amer. Math. Soc. 117 (1993), 221-226
MSC: Primary 58D27; Secondary 32G13, 53C07
MathSciNet review: 1110550
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [AB] M. F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A 308 (1982), 523-615. MR 702806 (85k:14006)
  • [D] S. K. Donaldson, Connection, cohomology and the intersection forms of $ 4$-manifolds, J. Differential Geom. 24 (1986), 275-341. MR 868974 (88g:57033)
  • [K] S. Kobayashi, Differential geometry of complex vector bundles, Iwanami Shoten, Japan, and Princeton Univ. Press, Princeton, NJ, 1987. MR 909698 (89e:53100)
  • [L] H. B. Lawson, The theory of gauge fields in four dimensions, CBMS Regional Conf. Ser. in Math., Amer. Math. Soc., Providence, RI, 1985. MR 799712 (87d:58044)
  • [M] 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).

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58D27, 32G13, 53C07

Retrieve articles in all journals with MSC: 58D27, 32G13, 53C07

Additional Information

Article copyright: © Copyright 1993 American Mathematical Society

American Mathematical Society