2015/01/20 by Hitchin, Nigel
#53C26 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1501.04989
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.