Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Moving Boundary
Sema Salur, Albert J. Todd
TL;DR
This paper extends previous work by proving that the moduli space of asymptotically cylindrical special Lagrangian submanifolds with moving boundary is a smooth manifold, generalizing fixed boundary results.
Contribution
It establishes the smoothness of the moduli space for special Lagrangian submanifolds with moving boundary in asymptotically cylindrical Calabi-Yau 3-folds.
Findings
Moduli space is smooth for moving boundary cases
Generalizes fixed boundary moduli space results
Provides new analytical techniques for boundary variations
Abstract
In an earlier paper, we proved that, under certain hypotheses, the moduli space of an asymptotically cylindrical special Lagrangian submanifold with fixed boundary of an asymptotically cylindrical Calabi-Yau 3-fold is a smooth manifold. Here we prove the analogous result for an asymptotically cylindrical special Lagrangian submanifold with moving boundary.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology