Annals of Mathematics, II. Series, Vol. 151, No. 1, pp. 193-268, 2000

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Annals of Mathematics, II. Series
Vol. 151, No. 1, pp. 193-268 (2000)

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Gauge theory and calibrated geometry. I

Gang Tian

Review from Zentralblatt MATH:

The author studies a new natural interaction between Yang-Mills connections, which are critical points of a Yang-Mills action associated to a vector bundle, and minimal submanifolds, which have been studied a lot for several years in classical differential geometry and the calculus of variations.

All the results of this paper can be generalized to the case of the Yang-Mills-Higgs equation as it is mentioned in the paper.

In the last chapter of this paper the author discusses compactification of the moduli space of anti-self-dual instantons and some related problems.

Reviewed by Th.M.Rassias

Keywords: gauge theory; calibrated geometry; Yang-Mills equations; moduli spaces; compactification; connections; blow-up loci

Classification (MSC2000): 58E15 81T13

Full text of the article:

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Electronic fulltext finalized on: 8 Sep 2001. This page was last modified: 21 Jan 2002.

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Metadata extracted from Zentralblatt MATH with kind permission