3 papers
math.SG2026
Obstruction to Symplectic Embeddings between Toric Domains
Marcelo Miranda, Pedro A. S. Salomão, Jonathan Trejos
We study symplectic embeddings between four-dimensional toric domains using embedded contact homology. Extending Hutchings' criterion for embeddings between convex toric domains, w…
math.SG2026
Canonical frames in contact 3-manifolds and applications
Brayan Ferreira, Marcelo Miranda, Alejandro Vicente
We study contact 3-manifolds with a special global frame inspired by Cartan's structure equations. This frame is dual to a generalized Finsler structure defined by Bryant. We p…
math.SG2025
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…