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arXiv · 2203.17148

Joyce structures on spaces of quadratic differentials

Tom Bridgeland
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Abstract

Consider the space parameterising curves of genus g>1 equipped with a quadratic differential with simple zeroes. We use the geometry of isomonodromic deformations to construct a complex hyperkahler structure on the total space of its tangent bundle. This provides non-trivial examples of the Joyce structures recently introduced in relation to Donaldson-Thomas theory.

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Tom Bridgeland. 2022-03-31. Joyce structures on spaces of quadratic differentials. https://doi.org/10.2140/gt.2025.29.2695

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