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

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

2011-11-17

arxiv.org/abs/1111.4184v1

Mathematics

Algebraic Geometry

10 pages, 3 figures

Scientific paper

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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