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Title:
Counting invariants of Calabi-Yau orbifolds and their resolutions, I
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Abstract:
We will give an introduction to various versions of the crepant resolution conjecture. This is a whole collection of theorems and conjectures which relate the geometry of a Calabi-Yau orbifold to the geometry of a crepant resolution. It includes the classical and derived McKay correspondences, Ruan's cohomological crepant resolution conjecture, and various versions of the Gromov-Witten and Donaldson-Thomas crepant resolution conjectures.
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