A note on symmetrical symplectic capacities

Published 27 Apr 2020 in math.SG | (2004.12933v2)

Abstract: For a convex domain in the standard Euclidean symplectic space which is invariant under a linear anti-symplectic involution $\tau$ we show that its Ekeland-Hofer-Zehnder capacity is equal to the $\tau$-symmetrical symplectic capacity of it.

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