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arXiv · 2410.08028

The stability manifold of $E{\times} E{\times} E$

Fabian Haiden·Benjamin Sung
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Abstract

We determine a full component of the space of stability conditions on $D^b(E^3)$ where $E$ is an elliptic curve without complex multiplication. The component has complex dimension 14 and a very concrete description in terms of alternating trilinear forms. This confirms a conjecture of Kontsevich, motivated by homological mirror symmetry, in the case of dimension $3$.

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Fabian Haiden, Benjamin Sung. 2024-10-10. The stability manifold of $E{\times} E{\times} E$. https://arxiv.org/abs/2410.08028

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