Bridgeland, T. orcid.org/0000-0001-5120-006X (2025) Joyce structures on spaces of quadratic differentials. Geometry & Topology, 29 (5). pp. 2695-2731. ISSN: 1465-3060
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | moduli spaces; flat connections; Higgs bundles; hyperkahler |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences |
Funding Information: | Funder Grant number ROYAL SOCIETY RSRP\R1\211023 Engineering and Physical Sciences Research Council EP/V010719/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 03 Sep 2025 16:04 |
Last Modified: | 03 Sep 2025 16:04 |
Status: | Published |
Publisher: | Mathematical Sciences Publishers |
Refereed: | Yes |
Identification Number: | 10.2140/gt.2025.29.2695 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:231117 |