In C-2 with the standard symplectic structure we consider the bidisc D-2 x D-2 constructed as the product of two open real discs of radius 1. We compute explicit values for the first, second and third Ekeland-Hofer symplectic capacity of D-2 x D-2. We discuss some applications to questions of symplectic rigidity.

ON THE EKELAND-HOFER SYMPLECTIC CAPACITIES OF THE REAL BIDISC

Pinton, S
2020-01-01

Abstract

In C-2 with the standard symplectic structure we consider the bidisc D-2 x D-2 constructed as the product of two open real discs of radius 1. We compute explicit values for the first, second and third Ekeland-Hofer symplectic capacity of D-2 x D-2. We discuss some applications to questions of symplectic rigidity.
2020
symplectic capacities
Lagrangian bidisc
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1140198
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