Quadratic differentials as stability conditions

  title={Quadratic differentials as stability conditions},
  author={Tom Bridgeland and Ivan Smith},
  journal={Publications math{\'e}matiques de l'IH{\'E}S},
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. 
An extension of the Siegel space of complex abelian varieties and conjectures on stability structures
  • F. Haiden
  • Mathematics
    manuscripta mathematica
  • 2019
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