Combinatorial embedded contact homology for toric contact manifolds

Abstract

Computing embedded contact homology (ECH) and related invariants of certain toric 3-manifolds (in the sense of Lerman) has led to interesting new results in the study of symplectic embeddings. Here, we give a combinatorial formulation of ECH chain complexes for general toric contact 3-manifolds. As a corollary, we prove Conjecture A.3 from [Hutchings14].

30 pages, 5 figures

Cited by in corpus (2)

• Symplectic capacities, unperturbed curves, and convex toric domains
• Embedded contact homology of prequantization bundles