Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary

2009/02/03 by Sema Salur, Salur, Sema, Albert J. Todd +1
Computer Science · Mathematics · #53C15 #53C21 #53C38 #58J05 #Contact Mechanics and Variational Inequalities #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.DG #math.GT #msc:53C15 #msc:53C21 #msc:53C38 #msc:58J05

paper · pdf · doi:10.48550/arxiv.0902.0565

16 pages, LaTex

arxiv created 2009/02/03 · openalex publication_date 2009/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given an asymptotically cylindrical special Lagrangian submanifold L in an asymptotically cylindrical Calabi-Yau 3-fold X, we determine conditions on a decay rate gamma which make the moduli space of (local) special Lagrangian deformations of L in X a smooth manifold and show that it has dimension equal to the dimension of the image of H¹_cs(L,R) in H¹(L,R) under the natural inclusion map.

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