6 papers
Symplectic capacities of -invariant dynamically convex domains in
Arthur Melo, Vinicius G. B. Ramos, Alejandro Vicente
In this paper, we prove that all normalized symplectic capacities agree for dynamically convex domains in that are invariant under any Hamiltonian -action isoto…
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…
Embedded contact homology of the unit cotangent bundle of the Klein bottle
Marcelo Miranda, Vinicius G. B. Ramos
We give a combinatorial description of the embedded contact homology chain complex of the unit cotangent bundle of the Klein bottle with the standard flat Riemannian metric. Using…
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…
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…
From Lagrangian Products to Toric Domains via the Toda Lattice
Yaron Ostrover, Vinicius G. B. Ramos, Daniele Sepe
In this paper we use the periodic Toda lattice to show that certain Lagrangian product configurations in the classical phase space are symplectically equivalent to toric domains. I…