Joyce structures on spaces of quadratic differentials

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 hyperkhler 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.

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Publication Details

Journal
Geometry & Topology
Published
2025-08-14
DOI
https://doi.org/10.2140/gt.2025.29.2695
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Joyce structures on spaces of quadratic differentials

Tom Bridgeland
Geometry & Topology
Algebraic Geometry and Number Theory
article

Joyce structures on spaces of quadratic differentials

Tom Bridgeland
article en

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 hyperkhler 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.

Geometry & TopologyVol. 29(5)
University of Sheffield (GB)
Openalex Percentile: Top 73%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Joyce structures on spaces of quadratic differentials — Tom Bridgeland · Geometry & Topology (2025) | TGRS Research Map | TGRS