Quadratic differentials as stability conditions
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- 7 June 2015
- journal article
- Published by MathDoc/Centre Mersenne in Publications mathématiques de l'IHÉS
- Vol. 121, 155-278
Abstract
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 CY 3 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.Keywords
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