2024/06/25 by Emily Autumn Windes, Windes, Emily Autumn · 1 citation
Mathematics · Engineering · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Advanced Numerical Analysis Techniques
paper · pdf · doi:10.48550/arxiv.2406.17948
In this paper, we prove a transversality theorem for the moduli space of perturbed special Lagrangian submanifolds in a 6-dimensional manifold equipped with a generalization of a Calabi-Yau structure. These perturbed special Lagrangian submanifolds arise as solutions to an infinite-dimensional Lagrange multipliers problem which is part of a proposal for counting special Lagrangians outlined by Donaldson and Segal in their paper Gauge theory in higher dimensions II. More specifically, we prove that this moduli space is generically a set of isolated points.