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math.MG2026
Contractibility of space of symplectically self-polar convex bodies
Mark Berezovik
Symplectically self-polar bodies have been introduced recently. They appeared in the context of Mahler's conjecture and in the context of symplectic outer billiard dynamics. In thi…
math.MG2023
Symplectically self-polar polytopes of minimal capacity
Mark Berezovik
In this paper we continue the study of symplectically self-polar convex bodies started in arXiv:2211.14630. We construct symplectically self-polar convex bodies of the minimal Ekel…