Transversality for perturbed special Lagrangian submanifolds
Differential Geometry
2024-08-02 v2 Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.2406.17948,
title = {Transversality for perturbed special Lagrangian submanifolds},
author = {Emily Autumn Windes},
journal= {arXiv preprint arXiv:2406.17948},
year = {2024}
}
Comments
35 pages, 0 figures Changes: Definition of the space of parameters was modified. The results of Theorem 1.2 only apply after this modification. Minor typos also corrected