Derived category of coherent sheaves and counting invariants

Yukinobu Toda

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arXiv · 1404.3814

Derived category of coherent sheaves and counting invariants

Yukinobu Toda

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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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Yukinobu Toda. 2014-05-20. Derived category of coherent sheaves and counting invariants. https://arxiv.org/abs/1404.3814

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