1212.3790 (Zheng Hua)

Spin structure on moduli space of sheaves on Calabi-Yau threefold    [PDF]

Zheng Hua

Kontsevich and Soibelman defined a notion of orientation data on Calabi-Yau category. We consider a $\sC^\infty$ version of their definition. It can be thought as a consistent choice of spin structure on moduli space of objects in the given CY category. Let $X$ be a compact CY 3-fold satisfying appropriate topological condition. We prove the existence and uniqueness of orientation data on the derived category of coherent sheaves $D^b(X)$.

View original: http://arxiv.org/abs/1212.3790