Derived category of coherent sheaves and counting invariants
arXiv:1404.3814
Abstract
We survey recent developments on Donaldson-Thomas theory, Bridgeland stability conditions and wall-crossing formula. We emphasize the importance of the counting theory of Bridgeland semistable objects in the derived category of coherent sheaves to find a hidden property of the generating series of Donaldson-Thomas invariants.
arXiv commentContribution to the ICM 2014 proceedings
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Cited by in corpus (4)
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- The Space of Stability Conditions on Abelian Threefolds, and on some Calabi-Yau Threefolds
- The Effective Cone of Moduli Spaces of Sheaves on a Smooth Quadric Surface
- Wall-Crossing implies Brill-Noether. Applications of stability conditions on surfaces