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arXiv · 1212.3790

Orientation data on moduli space of sheaves on Calabi-Yau threefold

Zheng Hua
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Abstract

Kontsevich and Soibelman introduced a notion of orientation data on Calabi-Yau category. It can be viewed as a consistent choice of spin structure on moduli space of objects in the given category. The orientation data plays an important role in Donaldson-Thomas theory. Let X be a projective, simply connected and torsion free CY 3-fold. We prove the existence of orientation data for the moduli space of coherent sheaves on X.

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Zheng Hua. 2012-12-16. Orientation data on moduli space of sheaves on Calabi-Yau threefold. https://arxiv.org/abs/1212.3790

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