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arXiv · 2407.18229

Joyce structures and their twistor spaces

Tom Bridgeland
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Abstract

Joyce structures are a class of geometric structures which first arose in relation to holomorphic generating functions for Donaldson-Thomas invariants. They can be thought of as non-linear analogues of Frobenius structures, or as special classes of complex hyperkahler manifolds. We give a detailed introduction to Joyce structures, with particular focus on the geometry of the associated twistor space. We also prove several new results.

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Tom Bridgeland. 2024-12-13. Joyce structures and their twistor spaces. https://arxiv.org/abs/2407.18229

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