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arXiv · 2406.17948

Transversality for perturbed special Lagrangian submanifolds

Emily Autumn Windes
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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.

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Emily Autumn Windes. 2024-06-25. Transversality for perturbed special Lagrangian submanifolds. https://arxiv.org/abs/2406.17948

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