Work

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

Year: 2024

Type: preprint

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 $3$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2410.08028

Authors: Haiden, Fabian, Sung, Benjamin

Institutions: University of Southern Denmark, University of California, Santa Barbara

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4403365255

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