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math.SG2025
On Lagrangian barriers and applications of Non-Squeezing
Alejandro Vicente
In this note we show the existence of Lagrangian barriers in a certain class of domains in , including dual Lagrangian products and some ``sufficiently" round doma…
math.SG2025
On singular Lagrangian fibrations and applications to symplectic embeddings I
Santiago Achig-Andrango, Renato Vianna, Alejandro Vicente
In this paper, we construct singular Lagrangian fibrations on some examples of disk cotangent bundles in dimensions 4 and 6. As an application, we show how this construction can be…
math.SG2025
The strong Viterbo conjecture and various flavours of duality in Lagrangian products
Alejandro Vicente
In this note we analyze normalized symplectic capacities for two different notions of duality in Lagrangian products. Let be a -tuple of Young functions with Legendre transf…