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• W1765256412 abstract "We develop a complete Hitchin-Kobayashi correspondence for twisted pairs on a compact Riemann surface X. The main novelty lies in a careful study of the the notion of polystability for pairs, required for having a bijective correspondence between solutions to the Hermite-Einstein equations, on one hand, and polystable pairs, on the other. Our results allow us to establish rigorously the homemomorphism between the moduli space of polystable G-Higgs bundles on X and the character variety for representations of the fundamental group of X in G. We also study in detail several interesting examples of the correspondence for particular groups and show how to significantly simplify the general stability condition in these cases." @default.
• W1765256412 created "2016-06-24" @default.
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• W1765256412 date "2009-09-24" @default.
• W1765256412 modified "2023-10-17" @default.
• W1765256412 title "The Hitchin-Kobayashi correspondence, Higgs pairs and surface group representations" @default.
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