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arXiv · 1701.03293

Sectional curvature asymptotics of the Higgs bundle moduli space

Jan Swoboda
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Abstract

We determine the asymptotic behavior in the limit of large Higgs fields of the sectional curvatures of the natural $L^2$ hyperkähler metric $G_{L^2}$ of the moduli space $\mathcal M$ of rank-$2$ Higgs bundles on a Riemann surface $Σ$ away from the discriminant locus. It is shown that their leading order part is given by a sum of Dirac type contributions on $Σ$, for which we find explicit expressions.

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Jan Swoboda. 2017-01-30. Sectional curvature asymptotics of the Higgs bundle moduli space. https://arxiv.org/abs/1701.03293

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