Abstract
We show that for every nonelementary representation of a surface group into there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the discriminant locus of the Hitchin fibration.
Citation
Richard Wentworth. Michael Wolf. "Surface group representations to $\mathrm{SL}(2,\mathbb{C})$ and Higgs bundles with smooth spectral data." Geom. Topol. 20 (5) 3019 - 3032, 2016. https://doi.org/10.2140/gt.2016.20.3019
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