Higgs bundles and diffeomorphism groups
Differential Geometry
2015-01-22 v1
Abstract
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.
Cite
@article{arxiv.1501.04989,
title = {Higgs bundles and diffeomorphism groups},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:1501.04989},
year = {2015}
}
Comments
Based on a talk given at the JDG Conference, Harvard, September 13-14 2014