The stability manifold of $E{\times} E{\times} E$
Algebraic Geometry
2024-10-11 v1 High Energy Physics - Theory
Symplectic Geometry
Abstract
We determine a full component of the space of stability conditions on where 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 .
Cite
@article{arxiv.2410.08028,
title = {The stability manifold of $E{\times} E{\times} E$},
author = {Fabian Haiden and Benjamin Sung},
journal= {arXiv preprint arXiv:2410.08028},
year = {2024}
}