Browsing by Subject "harmonic bundles"
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Item The Ooguri-Vafa space as a moduli space of framed wild harmonic bundles(2020-04-22) Tulli Segalla, Ivan Nicolas; Freed, Daniel S.; Neitzke, Andrew; Ben-Zvi, David; Perutz, TimothyThe Ooguri-Vafa hyperkähler metric is expected to be part of the local model of the L²-hyperkähler metric of the Hitchin moduli spaces, near the generic part of the discriminant locus (see [25]). In this dissertation, we show that the Ooguri-Vafa space can be interpreted as a certain set of rank 2, framed wild harmonic bundles over CP¹, with one irregular singularity. Along the way, we also find that the electric and magnetic twistor coordinates from [10], which describe the hyperkähler geometry of the Ooguri-Vafa space, have an interpretation in terms of Stokes data associated to our framed wild harmonic bundles.