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

2007/06/21 by Denis Auroux, Auroux, Denis · 304 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Biology #Complement (music) #Divisor (algebraic geometry) #Duality (order theory) #Geometry #Homotopy and Cohomology in Algebraic Topology #Mathematics #Mirror symmetry #Nonlinear Waves and Solitons #Pure mathematics #Symmetry (geometry) #math.AG #math.DG #math.SG

paper · pdf · doi:10.48550/arxiv.0706.3207

published in arXiv (Cornell University) (Cornell University) · 42 pages, 2 figures; v2: some bibliographical references added

openalex publication_date 2007/06/21 · arxiv created 2007/07/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

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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