3 citations · 6 across the 5 of their papers we have counts for
5 papers
Higher -symmetric Ekeland-Hofer capacities
Kun Shi, Guangcun Lu
This paper is devoted to the construction of analogues of higher Ekeland-Hofer symplectic capacities for -symmetric subsets in the standard symplectic space $(\mathbb{R}^{2n},ω_…
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…
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…
Combinatorial formulas for some generalized Ekeland-Hofer-Zehnder capacities of convex polytopes
Kun Shi, Guangcun Lu
Motivated by Pazit Haim-Kislev's combinatorial formula for the Ekeland-Hofer-Zehnder capacities of convex polytopes, we give corresponding formulas for -Ekeland-Hofer-Zehnder an…
The Poisson bracket invariant for open covers consisting of topological disks on surfaces
Kun Shi, Guangcun Lu
L. Buhovsky, A. Logunov and S. Tanny proved the (strong) Poisson bracket conjecture by Leonid Polterovich in dimension . In this note, instead of open cover consisting of displa…