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arXiv · 2006.13059

Complex hyperk\"ahler structures defined by Donaldson-Thomas invariants

Tom Bridgeland·Ian A. B. Strachan
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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.

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Tom Bridgeland, Ian A. B. Strachan. 2020-06-23. Complex hyperk\"ahler structures defined by Donaldson-Thomas invariants. https://doi.org/10.1007/s11005-021-01388-z

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