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 |

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