Year: 2025
Type: article
Abstract: Consider the space parametrising complex projective curves of genus g equipped with a quadratic differential with simple zeroes.We use the geometry of isomonodromic deformations to construct a complex hyperkähler structure on the total space of its tangent bundle.This provides nontrivial examples of the Joyce structures introduced by the author in relation to Donaldson-Thomas theory.
Source: Geometry & Topology
Author: Tom Bridgeland
Institution: University of Sheffield
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Award: G6847433569
OpenAlex ID: W4413315338