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math.SG2026
On Lagrangians of Oakley-Usher type
Joé Brendel, Andrea Piccirilli
The first main theme of this paper is to study symplectic (un-)knottedness of Lagrangian submanifolds which are not tori. Our construction of such Lagrangians is inspired by the ge…
math.SG2025
Geometric quantization of generalized Hirzebruch fibrations
Andrea Piccirilli
Hirzebruch surfaces, defined as the projectivization of line bundles over $\C\mathbb{P}^1$, support a toric action and thus represent an infinite class of symplectic toric manifold…