arXiv
Open Access
2024
Transversality for perturbed special Lagrangian submanifolds
Emily Autumn Windes
Abstrak
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
Akses Cepat
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- Tahun Terbit
- 2024
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- en
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- arXiv
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- Open Access ✓