Work

Transversality for perturbed special lagrangian submanifolds

Year: 2025
Type: article
Abstract: 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.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W4412364282
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Cites: 25
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Related to: 10