Orientation data on moduli space of sheaves on Calabi-Yau threefold (1212.3790v5)

Published 16 Dec 2012 in math.AG, hep-th, and math.DG

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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Authors (1)

Zheng Hua

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