The stability manifold of E× E× E

2024/10/10 by Fabian Haiden, Haiden, Fabian, Benjamin Sung +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Numerical methods for differential equations #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2410.08028

openalex publication_date 2024/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine a full component of the space of stability conditions on D^b(E³) 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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