Joyce structures on spaces of quadratic differentials
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866911110499663872 |
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| author | Bridgeland, Tom |
| author_facet | Bridgeland, Tom |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_17148 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Joyce structures on spaces of quadratic differentials Bridgeland, Tom Algebraic Geometry High Energy Physics - Theory 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. |
| title | Joyce structures on spaces of quadratic differentials |
| topic | Algebraic Geometry High Energy Physics - Theory |
| url | https://arxiv.org/abs/2203.17148 |