Combinatorial formulation of embedded contact homology of toric contact manifolds

Embedded contact homology is an invariant of a three-manifold isomorphic to Heegaard Floer homology and Seiberg-Witten Floer homology. However, ECH chain complex depends on the choice of a contact form on the manifold and is of interest for studying symplectic geometric properties (e.g. ECH capacities). Extending the work of Hutchings-Sullivan, we combinatorially describe  the ECH chain complexes of toric contact manifolds such as T^3 with a T^2-invariant contact form.