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Abstract
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In
with the standard symplectic structure we consider the bidisc
constructed as the product of two open real discs of radius
. We
compute explicit values for the first, second and third Ekeland–Hofer symplectic capacity
of
. We
discuss some applications to questions of symplectic rigidity.
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Keywords
symplectic capacities, Lagrangian bidisc
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Mathematical Subject Classification 2010
Primary: 53D05
Secondary: 53D35
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Milestones
Received: 7 February 2019
Revised: 15 October 2019
Accepted: 26 November 2019
Published: 29 April 2020
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