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arXiv:1501.04989 [math.DG]AbstractReferencesReviewsResources

Higgs bundles and diffeomorphism groups

Nigel Hitchin

Published 2015-01-20Version 1

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.

Comments: Based on a talk given at the JDG Conference, Harvard, September 13-14 2014
Categories: math.DG
Subjects: 53C26
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