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Mirror Symmetry, D-Branes and Counting Holomorphic Discs

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arxiv hep-th/0012041 v1 pith:L2D44TJ2 submitted 2000-12-05 hep-th math.AG

classification hep-thmath.AG
keywords mirrorholomorphiccountinglagrangiansomesymmetryabel-jacobialready
verification ladder T0 review T1 audit T2 compute T3 formal

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We consider a class of special Lagrangian subspaces of Calabi-Yau manifolds and identify their mirrors, using the recent derivation of mirror symmetry, as certain holomorphic varieties of the mirror geometry. This transforms the counting of holomorphic disc instantons ending on the Lagrangian submanifold to the classical Abel-Jacobi map on the mirror. We recover some results already anticipated as well as obtain some highly non-trivial new predictions.

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Cited by 8 Pith papers

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