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Higgs bundles and diffeomorphism groups

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 نشر من قبل Nigel Hitchin
 تاريخ النشر 2015
  مجال البحث
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 تأليف Nigel Hitchin




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By studying the Higgs bundle equations with the gauge group replaced by the group of symplectic diffeomorphisms of the 2-sphere we encounter the notion of a folded hyperkaehler 4-manifold and conjecture the existence of a family of such metrics parametrised by an infinite-dimensional analogue of Teichmueller space.



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