Twisted Fourier-Mukai transforms for holomorphic symplectic four-folds

Abstract:

We apply the methods of Caldararu to construct a twisted Fourier-Mukai transform between a pair of holomorphic symplectic four-folds. In particular, we obtain an equivalence between the derived category of coherent sheaves on a certain four-fold and the derived category of twisted sheaves on its `mirror' partner.

Appears in Volume 218 (2008) No. 3 of Advances in Mathematics. Available as math.AG/0509222 from the e-Print archive.

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