3 papers
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
Coarse distance from dynamically convex to convex
Julien Dardennes, Jean Gutt, Vinicius G. B. Ramos +1
Chaidez and Edtmair have recently found the first example of dynamically convex domains in that are not symplectomorphic to convex domains (called symplectically conv…
math.SG2022
Cube normalized symplectic capacities
Jean Gutt, Miguel Pereira, Vinicius G. B. Ramos
We introduce a new normalization condition for symplectic capacities, which we call cube normalization. This condition is satisfied by the Lagrangian capacity and the cube capacity…