2016/07/29 by Josue Rosario-Ortega, Rosario-Ortega, Josue
Mathematics · #53C38 #58D27 #58J60 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1608.00051
openalex publication_date 2016/07/29 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
Special Lagrangian submanifolds are submanifolds of a Calabi-Yau manifold\ncalibrated by the real part of the holomorphic volume form. In this paper we\nuse elliptic theory for edge-degenerate differential operators on singular\nmanifolds to study the moduli space of deformations of special Lagrangian\nsubmanifolds with edge singularities. We obtain a general theorem describing\nthe local structure of the moduli space. When the obstruction space vanishes\nthe moduli space is a smooth, finite dimensional manifold.\n