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arxiv: 1608.07988 · v1 · pith:66SJVWEInew · submitted 2016-08-29 · 🧮 math.SG

Combinatorial embedded contact homology for toric contact manifolds

classification 🧮 math.SG
keywords contactmanifoldstoriccombinatorialembeddedhomologycertainchain
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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].

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