paper

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

arXiv:1111.4184

Abstract

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.

10 pages, 3 figures