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)

Abstract

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
• Status: Published
• Refereed: Yes
• 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
• Publisher: Springer
• ISSN: 0377-9017
• 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