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

2007/06/21 by Denis Auroux, Auroux, Denis · 35 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.0706.3207

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.

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