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Hitchin Pairs for non-compact real Lie groups

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 نشر من قبل Peter Gothen
 تاريخ النشر 2016
  مجال البحث
والبحث باللغة English
 تأليف Peter B. Gothen




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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 $mathrm{U}(p,q)$.


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