Prefer a chat interface with context about you and your work?
Surface group representations to SL(2, โ) and Higgs bundles with smooth spectral data
We show that for every nonelementary representation of a surface group into $SL(2,{\mathbb C})$ there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the discriminant locus of the Hitchin fibration.