Joyce structures on spaces of quadratic differentials
Algebraic Geometry
2025-08-20 v3 High Energy Physics - Theory
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.
Cite
@article{arxiv.2203.17148,
title = {Joyce structures on spaces of quadratic differentials},
author = {Tom Bridgeland},
journal= {arXiv preprint arXiv:2203.17148},
year = {2025}
}
Comments
Published version. To appear in Geometry and Topology