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Holomorphic generating functions for invariants counting coherent sheaves on Calabi–Yau 3–folds

Holomorphic generating functions for invariants counting coherent sheaves on Calabi–Yau 3–folds

Let X be a Calabi-Yau 3-fold, T = D b (coh(X)) the derived category of coherent sheaves on X, and Stab(T ) the complex manifold of Bridgeland stability conditions on T .It is conjectured that one can define invariants J α (Z, P) ∈ Q for (Z, P) ∈ Stab(T …