Complex hyperkähler structures defined by Donaldson–Thomas invariants

Strachan, I. A.B. and Bridgeland, T. (2021) Complex hyperkähler structures defined by Donaldson–Thomas invariants. Letters in Mathematical Physics, 111, 54. (doi: 10.1007/s11005-021-01388-z)

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The notion of a Joyce structure was introduced in Bridgeland (Geometry from Donaldson–Thomas invariants, preprint arXiv:1912.06504) to describe the geometric structure on the space of stability conditions of a CY3 category naturally encoded by the Donaldson-Thomas invariants. In this paper we show that a Joyce structure on a complex manifold defines a complex hyperkähler structure on the total space of its tangent bundle, and give a characterisation of the resulting hyperkähler metrics in geometric terms.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Strachan, Professor Ian
Authors: Strachan, I. A.B., and Bridgeland, T.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Letters in Mathematical Physics
ISSN (Online):1573-0530
Published Online:22 April 2021
Copyright Holders:Copyright © The Author(s) 2021
First Published:First published in Letters in Mathematical Physics 111:54
Publisher Policy:Reproduced under a Creative Commons Licence

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