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Derived category of coherent sheaves and counting invariants

Published 15 Apr 2014 in math.AG | (1404.3814v2)

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.

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