Derived Category Automorphisms from Mirror Symmetry

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Inspired by the homological mirror symmetry conjecture of Kontsevich, we construct new classes of automorphisms of the bounded derived category of coherent sheaves on a smooth Calabi-Yau variety.
LaTeX, 27 pages, no figures; substantially revised; the erroneous lemma 2.6 has been removed; to appear in the Duke Mathematical Journal

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