Homotopy type of moduli spaces of G-Higgs bundles and reducibility of the nilpotent cone
Let G be a real reductive Lie group, and H-C the complexification of its maximal compact subgroup H subset of G. We consider classes of semistable G-Higgs bundles over a Riemann surface X of genus g >= 2 whose underlying H-C-principal bundle is unstable. This allows us to find obstructions to a d...
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2019
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| Online Access: | https://hdl.handle.net/10216/125572 |
| Country: | Portugal |
| Oai: | oai:repositorio-aberto.up.pt:10216/125572 |
| Summary: | Let G be a real reductive Lie group, and H-C the complexification of its maximal compact subgroup H subset of G. We consider classes of semistable G-Higgs bundles over a Riemann surface X of genus g >= 2 whose underlying H-C-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-C-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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