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The modular curve as the space of stability conditions of a CY3 algebra

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arxiv 1111.4184 v1 pith:DLPIWHVL submitted 2011-11-17 math.AG

Tom Sutherland This is my paper · ORCID
classification math.AG
keywords spaceconditionsstabilityalgebrabundlecategorycollectioncomponent
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We prove that a connected component of the space of stability conditions of a CY3 triangulated category generated by an A_2 collection of 3-spherical objects is isomorphic to the universal cover of the C^*-bundle of non-zero holomorphic differentials on the moduli space of elliptic curves.

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  1. K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line

    math.AG 2026-08 conditional novelty 6.0 of 10

    In solvable models the quantum stability path enters the semiorthogonal selection region at finite time and never leaves; the cubic-fourfold chamber theorem and the full determinant dictionary remain conjectural.

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