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arxiv: 1404.3814 · v2 · pith:PLACFEQHnew · submitted 2014-04-15 · 🧮 math.AG

Derived category of coherent sheaves and counting invariants

classification 🧮 math.AG
keywords bridgelandcategorycoherentcountingderiveddonaldson-thomasinvariantssheaves
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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.

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