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Subjects
53-XX Differential geometry
53Cxx Global differential geometry
53C07 Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)

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Poisson geometry of flat connections for SU(2)-bundles on surfaces.

Johannes Huebschmann (1996)

Mathematische Zeitschrift

Pseudo-real principal Higgs bundles on compact Kähler manifolds

Indranil Biswas, Oscar García-Prada, Jacques Hurtubise (2014)

Annales de l’institut Fourier

Let $X$ be a compact connected Kähler manifold equipped with an anti-holomorphic involution which is compatible with the Kähler structure. Let $G$ be a connected complex reductive affine algebraic group equipped with a real form $σ_{G}$ . We define pseudo-real principal $G$ -bundles on $X$ . These are generalizations of real algebraic principal $G$ -bundles over a real algebraic variety. Next we define stable, semistable and polystable pseudo-real principal $G$ -bundles. Their relationships with the usual stable, semistable...

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