“School of Mathematics”
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| Paper IPM / M / 16068 |
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| Abstract: | |
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et G be a real reductive Lie group, and H\mathbbC the complexification of its maximal compact subgroup H ⊂ G. We consider classes of semistable G-Higgs bundles over a Riemann surface X of genus g ≥ 2 whose underlying H\mathbbC-principal bundle is unstable. This allows us to find obstructions to a deformation retract from the moduli space of G-Higgs bundles over X to the moduli space of H\mathbbC-bundles over X, in contrast with the situation when g=1, and to show reducibility of the nilpotent cone of the moduli space of G-Higgs bundles, for G complex.
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