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
Baracco, L
;
2020
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.
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