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.SG2025
ECH capacities of concave singular toric domains
Jonathan Trejos
By definition, a toric domain has a boundary contact manifold diffeomorphic to a three dimensional sphere. In the present work we extend the definition of the toric domains in dime…
math.SG2023
Symplectic embeddings of toric domains with boundary a lens space
Jonathan Trejos
We give a combinatorial description of the embedded contact complex (ECC) of a certain family of contact toric lens spaces that we call concave lens spaces. We also define a notion…