51 citations · 109 across the 12 of their papers we have counts for
14 papers
Hopf orbits and the first ECH capacity
Umberto Hryniewicz, Michael Hutchings, Vinicius G. B. Ramos
We consider dynamically convex star-shaped domains in a symplectic vector space of dimension . For such a domain, a ``Hopf orbit'' is a closed characteristic in the boundary whi…
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…
Gromov width of the disk cotangent bundle of spheres of revolution
Brayan Ferreira, Vinicius G. B. Ramos, Alejandro Vicente
Inspired by work of the first and second author, this paper studies the Gromov width of the disk cotangent bundle of spheroids and Zoll spheres of revolution. This is achieved with…
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…
Symplectic embeddings into disk cotangent bundles
Brayan Ferreira, Vinicius G. B. Ramos
In this paper, we compute the embedded contact homology (ECH) capacities of the disk cotangent bundles and . We also find sharp symplectic embeddings in…
Examples around the strong Viterbo conjecture
Jean Gutt, Michael Hutchings, Vinicius G. B. Ramos
A strong version of a conjecture of Viterbo asserts that all normalized symplectic capacities agree on convex domains. We review known results showing that certain specific normali…
Symplectic embeddings of the -sum of two discs
Yaron Ostrover, Vinicius G. B. Ramos
In this paper we study symplectic embedding questions for the -sum of two discs in , when . In particular, we compute the symplectic in…
On the rigidity of lagrangian products
Vinicius G. B. Ramos, Daniele Sepe
Motivated by work of the first author, this paper studies symplectic embedding problems of lagrangian products that are sufficiently symmetric. In general, lagrangian products aris…
Symplectic embeddings and the lagrangian bidisk
Vinicius Gripp Barros Ramos
In this paper we obtain sharp obstructions to the symplectic embedding of the lagrangian bidisk into four-dimensional balls, ellipsoids and symplectic polydisks. We prove, in fact,…
Absolute gradings on ECH and Heegaard Floer homology
Vinicius Gripp Barros Ramos
In joint work with Yang Huang, we defined a canonical absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields. A similar grading was defined on e…
Symplectic embeddings into four-dimensional concave toric domains
Keon Choi, Daniel Cristofaro-Gardiner, David Frenkel +2
ECH capacities give obstructions to symplectically embedding one symplectic four-manifold with boundary into another. We compute the ECH capacities of a large family of symplectic…
A topological grading on bordered Heegaard Floer homology
Yang Huang, Vinicius G. B. Ramos
In this paper, we construct a canonical grading on bordered Heegaard Floer homology by homotopy classes of nonvanishing vector fields. This grading is a generalization of our const…
The asymptotics of ECH capacities
Daniel Cristofaro-Gardiner, Michael Hutchings, Vinicius Gripp Barros Ramos
In a previous paper, the second author used embedded contact homology (ECH) of contact three-manifolds to define "ECH capacities" of four-dimensional symplectic manifolds. In the p…
An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields
Vinicius Gripp Barros Ramos, Yang Huang
For a closed oriented 3-manifold Y, we define an absolute grading on the Heegaard Floer homology groups of Y by homotopy classes of oriented 2-plane fields. We show that this absol…