Constructs Joyce structures on moduli spaces of meromorphic quadratic differentials with odd-order poles on the Riemann sphere by identifying isomonodromic deformations with kernels of closed 2-forms from intersection pairings, yielding complex hyper-Kähler metrics with homothetic symmetry.
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Joyce structures from quadratic differentials on the sphere
Constructs Joyce structures on moduli spaces of meromorphic quadratic differentials with odd-order poles on the Riemann sphere by identifying isomonodromic deformations with kernels of closed 2-forms from intersection pairings, yielding complex hyper-Kähler metrics with homothetic symmetry.