Fibrewise T-Duality for D-Branes on Elliptic Calabi-Yau

Abstract

Fibrewise T-duality (Fourier-Mukai transform) for D-branes on an elliptic Calabi-Yau X is shown to require naturally an appropriate twisting of the operation respectively a twisted charge. The fibrewise T-duality is furthermore expressed through known monodromies in the context of Kontsevich's interpretation of mirror symmetry.

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