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Moduli of special Lagrangians with boundary, II: Lagrangian Flux and Affine Structures

2025/03/30 by Vasanth Pidaparthy, Pidaparthy, Vasanth
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2503.23532

Abstract

This article continues the study of moduli spaces of special Lagrangians with boundary in a Calabi--Yau manifold. The moduli space was shown to be a smooth finite-dimensional manifold in the prequel arXiv:2503.6321918. This article investigates geometric structures on the moduli space of special Lagrangians with boundary and constructs a pair of special affine structures and a Hessian metric on this moduli space.

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