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Hyper-Kähler induction and self-duality on Riemann surfaces

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Abstract

Universal hyper-Kähler spaces are constructed from Lie groups acting on flat Kähler manifolds. These spaces are used to describe the moduli space of solutions of Hitchin's equation — self-duality equations on a Riemann surface — as the contangent bundle of the moduli space of flat connections on a Riemann surface.

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Ibort, L.A. Hyper-Kähler induction and self-duality on Riemann surfaces. Lett Math Phys 25, 131–137 (1992). https://doi.org/10.1007/BF00398309

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  • DOI: https://doi.org/10.1007/BF00398309

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