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Hitchin WKB-problem and<i>P</i> = <i>W</i>conjecture in lowest degree for rank 2 over the 5-punctured sphere
Abstract We use abelianization of Higgs bundles away from the ramification divisor and fiducial solutions to analyze the large-scale behavior of Fenchel–Nielsen co-ordinates on the moduli space of rank 2 Higgs bundles on the Riemann sphere with five punctures. We solve the related Hitchin WKB problem and prove the lowest …