# Asymptotic Geometry of the Hitchin Metric

@article{Mazzeo2017AsymptoticGO, title={Asymptotic Geometry of the Hitchin Metric}, author={R. Mazzeo and J. Swoboda and Hartmut Weiss and F. Witt}, journal={Communications in Mathematical Physics}, year={2017}, volume={367}, pages={151-191} }

AbstractWe study the asymptotics of the natural L2 metric on the Hitchin moduli space with group $${G = \mathrm{SU}(2)}$$G=SU(2). Our main result, which addresses a detailed conjectural picture made by Gaiotto et al. (Adv Math 234:239–403, 2013), is that on the regular part of the Hitchin system, this metric is well-approximated by the semiflat metric from Gaiotto et al. (2013). We prove that the asymptotic rate of convergence for gauged tangent vectors to the moduli space has a precise… Expand

#### 16 Citations

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Asymptotics of Hitchin’s Metric on the Hitchin Section

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We consider Hitchin’s hyperkähler metric g on the moduli space $${\mathcal{M}}$$M of degree zero SL(2)-Higgs bundles over a compact Riemann surface. It has been conjectured that, when one goes to… Expand

Exponential Decay for the Asymptotic Geometry of the Hitchin Metric

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We consider Hitchin’s hyperkähler metric $$g_{L^2}$$ g L 2 on the SU ( n )-Hitchin moduli space over a compact Riemann surface. We prove that the difference between the metric $$g_{L^2}$$ g L 2 and a… Expand

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