Joyce structures and their twistor spaces
Algebraic Geometry
2024-12-16 v2
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.
Keywords
Cite
@article{arxiv.2407.18229,
title = {Joyce structures and their twistor spaces},
author = {Tom Bridgeland},
journal= {arXiv preprint arXiv:2407.18229},
year = {2024}
}
Comments
Published version. To appear in Advances in Mathematics. arXiv admin note: text overlap with arXiv:2303.07061