3 papers
math.SG2025
Periodicity characterization by capacities for star-shaped domains
Jean Gutt, Vinicius G. B. Ramos, Shira Tanny
We complete the spectral characterization of Besse and Zoll Reeb flows on the standard contact sphere initiated by Ginzburg-Gürel-Mazzucchelli. Roughly speaking, it stat…
math.SG2024
The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities
Jean Gutt, Vinicius G. B. Ramos
In this paper, we prove that the Ekeland-Hofer capacities coincide on all star-shaped domain in with the equivariant symplectic homology capacities defined by the…
math.SG2023
Characterizing symplectic capacities on ellipsoids
Jean Gutt, Vinicius G. B. Ramos
It is a long-standing conjecture that all symplectic capacities which are equal to the Gromov width for ellipsoids coincide on a class of convex domains in . It is…