Higgs Bundles and Local Systems on Riemann Surfaces
نویسنده
چکیده
1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs bundles 3 2.2. The moduli space 8 2.3. The Hitchin-Kobayashi correspondence 13 3. The Betti Moduli Space 22 3.1. Representation varieties 22 3.2. Local systems and holomorphic connections 23 3.3. The Corlette-Donaldson theorem 27 3.4. Hyperkähler reduction 32 4. Differential Equations 34 4.1. Uniformization 34 4.2. Higher order equations 36 4.3. Opers 38 4.4. The Eichler-Shimura isomorphism 47 References 48
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