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arXiv · 2406.09344

Hamiltonian stationary maps with infinitely many singularities

Filippo Gaia
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Abstract

For any $k\in \mathbb{N}$ we construct an Hamiltonian stationary Lagrangian map from a disc to $\mathbb{C}^2$ with infinitely many Schoen-Wolfson singularities which is of class $C^k$ up to the boundary and has smooth trace.

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Filippo Gaia. 2024-06-13. Hamiltonian stationary maps with infinitely many singularities. https://arxiv.org/abs/2406.09344

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