QUADRATIC DIFFERENTIALS AS STABILITY CONDITIONS
QUADRATIC DIFFERENTIALS AS STABILITY CONDITIONS
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DOI：
10.1007/s10240-014-0066-5
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发表时间：
2015-06-01
影响因子：
6.2
通讯作者：
Smith, Ivan
中科院分区：
文献类型：
--
作者：
Bridgeland, Tom;Smith, Ivan
我们证明了紧Riemann曲面上的具有简单零点的亚纯二次微分的模空间可以与一类CY3三角化范畴上的稳定性条件空间相一致，其中CY3三角化范畴是用与三角化曲面相关联的势箭图定义的。我们将这种二次微分的有限长轨迹与相应稳定性条件的稳定对象联系起来。
We prove that moduli spaces of meromorphic quadratic differentials with simple zeroes on compact Riemann surfaces can be identified with spaces of stability conditions on a class of CY3 triangulated categories defined using quivers with potential associated to triangulated surfaces. We relate the finite-length trajectories of such quadratic differentials to the stable objects of the corresponding stability condition.