Joyce structures on spaces of quadratic differentials

Tom Bridgeland

Joyce structures on spaces of quadratic differentials

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arxiv 2203.17148 v3 pith:GMSED2KS submitted 2022-03-31 math.AG hep-th

Tom Bridgeland This is my paper · ORCID

classification math.AGhep-th

keywords joycequadraticspacestructuresbundlecomplexconsiderconstruct

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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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