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Hitchin’s equations on a nonorientable manifold

Hitchin’s equations on a nonorientable manifold

We define Hitchin's moduli space M Hitchin (P ) for a principal bundle P , whose structure group is a compact semisimple Lie group K, over a compact non-orientable Riemannian manifold M .We use the Donaldson-Corlette correspondence, which identifies Hitchin's moduli space with the moduli space of flat K C …