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Hitchin Pairs for non-compact real Lie groups
| Summary: | Hitchin pairs on Riemann surfaces are generalizations of Higgs bundles, allowing the Higgs field to be twisted by an arbitrary line bundle. We consider this generalization in the context of G-Higgs bundles for a real reductive Lie group G. We outline the basic theory and review some selected results, including recent results by Nozad and the author arXiv:1602.02712 [math.AG] on Hitchin pairs for the unitary group of indefinite signature U(p,q). |
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| Country: | Portugal |
| Document type: | book |
| Access type: | Open |
| Associated institution: | Repositório Aberto da Universidade do Porto |
| Language: | English |
| Origin: | Repositório Aberto da Universidade do Porto |
| Summary: | Hitchin pairs on Riemann surfaces are generalizations of Higgs bundles, allowing the Higgs field to be twisted by an arbitrary line bundle. We consider this generalization in the context of G-Higgs bundles for a real reductive Lie group G. We outline the basic theory and review some selected results, including recent results by Nozad and the author arXiv:1602.02712 [math.AG] on Hitchin pairs for the unitary group of indefinite signature U(p,q). |
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