Abstract
We prove a Hitchin-Kobayashi correspondence for extensions of Higgs bundles. The results generalize known results for extensions of holomorphic bundles. Using Simpson’s methods, we construct moduli spaces of stable objects. In an appendix we construct Bott-Chern forms for Higgs bundles ∗The first author thanks the Tata Institute for Fundamental Research for its hospitality. The second author was supported by a postdoctoral fellowship of Ministerio de Educacion y Cultura (Spain).
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