Doctor of Philosophy
Special Lagrangian submanifolds are submanifolds of a Calabi-Yau manifold calibrated by the real part of the holomorphic volume form. In this thesis we use elliptic theory for edge- degenerate differential operators on singular manifolds to study general deformations of special Lagrangian submanifolds with edge singularities. We obtain a general theorem describing the local structure of the moduli space. When the obstruction space vanishes the moduli space is a smooth, finite dimensional manifold.
Rosario-Ortega, Josue, "Moduli space and deformations of special Lagrangian submanifolds with edge singularities" (2016). Electronic Thesis and Dissertation Repository. 3924.