English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $X$ be a compact connected K\"ahler manifold equipped with ananti-holomorphic involution which is compatible with the K\"ahler structure.Let $G$ be a connected complex reductive affine algebraic group equipped with areal form $\sigma_G$. We define pseudo-real principal $G$--bundles on $X$;these are generalizations of real algebraic principal $G$--bundles over a realalgebraic variety. Next we define stable, semistable and polystable pseudo-realprincipal $G$--bundles. Their relationships with the usual stable, semistableand polystable principal $G$--bundles are investigated. We then prove that thefollowing Donaldson--Uhlenbeck--Yau type correspondence holds: a pseudo-realprincipal $G$--bundle admits a compatible Einstein-Hermitian connection if andonly if it is polystable. A bijection between the following two sets isestablished: 1) The isomorphism classes of polystable pseudo-real principal$G$--bundles such that all the rational characteristic classes of theunderlying topological principal $G$--bundle vanish. 2) The equivalence classesof twisted representations of the extended fundamental group of $X$ in a$\sigma_G$--invariant maximal compact subgroup of $G$. (The twistedrepresentations are defined using the central element in the definition of apseudo-real principal $G$--bundle.) All these results are also generalized tothe pseudo-real Higgs $G$--bundle.

Pseudo-real principal Higgs bundles on compact Kaehler manifolds