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Symplectic polarity and Mahler's conjecture (2211.14630v2)
Published 26 Nov 2022 in math.MG and math.SG
Abstract: We state a conjecture about the volume of symplectically self-polar convex bodies and show that it is equivalent to Mahler's conjecture concerning the volume of a convex body and its Euclidean polar. We also establish lower and upper bounds for symplectic capacities of symplectically self-polar bodies.
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