Complex hyperk\"ahler structures defined by Donaldson-Thomas invariants
Algebraic Geometry
2021-05-12 v2 High Energy Physics - Theory
Differential Geometry
Abstract
The notion of a Joyce structure was introduced in 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 hyperk\"ahler structure on the total space of its tangent bundle, and give a characterisation of the resulting hyperk\"ahler metrics in geometric terms.
Cite
@article{arxiv.2006.13059,
title = {Complex hyperk\"ahler structures defined by Donaldson-Thomas invariants},
author = {Tom Bridgeland and Ian A. B. Strachan},
journal= {arXiv preprint arXiv:2006.13059},
year = {2021}
}
Comments
27 pages