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math.SG2020★ 3 cited
The Viterbo's capacity conjectures for convex toric domains and the product of a -unconditional convex body and its polar
Kun Shi, Guangcun Lu
In this note, we show that the strong Viterbo conjecture holds true on any convex toric domain, and that the Viterbo's volume-capacity conjecture holds for the product of a -unc…
math.SG2020
A note on symmetrical symplectic capacities
Kun Shi, Guangcun Lu
For a convex domain in the standard Euclidean symplectic space which is invariant under a linear anti-symplectic involution we show that its Ekeland-Hofer-Zehnder capacity is e…