Tag: hyperkähler

Asymptotic behaviour of the Hitchin metric on the moduli space of Higgs bundles Takuro Mochizuki The moduli space of stable Higgs bundles of degree 0 is equipped with the hyperkähler metric, called the Hitchin metric. On the locus where the Hitchin fibration is smooth, there is the hyperkähler metric called the semi-flat metric, associated with the algebraic integrable systems with the Hitchin section. We prove the exponentially rapid decay of the difference between the Hitchin metric and the semi-flat metric … Continue reading “Asymptotic behaviour of the Hitchin metric on the moduli space of Higgs bundles”