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<p>We prove a transversality theorem for the moduli space of perturbed special Lagrangian submanifolds in a 6-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 [<CitationRef CitationID="CR9">9</CitationRef>]. More specifically, we prove that this moduli space is generically a set of isolated points.</p>

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Transversality for perturbed special lagrangian submanifolds

  • 期刊论文

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  • 发表日期：

    2025年7月12日

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  • Emily Autumn Windes

摘要

We prove a transversality theorem for the moduli space of perturbed special Lagrangian submanifolds in a 6-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 [9]. More specifically, we prove that this moduli space is generically a set of isolated points.