Mirror symmetry and T-duality in the complement of an anticanonical divisor

Abstract

We study the geometry of complexified moduli spaces of special Lagrangian submanifolds in the complement of an anticanonical divisor in a compact Kahler manifold. In particular, we explore the connections between T-duality and mirror symmetry in concrete examples, and show how quantum corrections arise in this context.

42 pages, 2 figures; v2: some bibliographical references added

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