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Yang-Mills theory and uniformization

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Abstract

We define a notion of a stable system of Hodge bundles. A stable system of Hodge bundles has a Hermitian-Yang-Mills metric and, if certain Chern classes vanish, this gives a complex variation of Hodge structure. We use these ideas to obtain a criterion for a variety to be uniformized by a bounded symmetric domain.

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Authors and Affiliations

  1. Princeton University, 08544, Princeton, NJ, USA

    Carlos T. Simpson

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  1. Carlos T. Simpson
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Simpson, C.T. Yang-Mills theory and uniformization. Lett Math Phys 14, 371–377 (1987). https://doi.org/10.1007/BF00402147

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  • DOI: https://doi.org/10.1007/BF00402147

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