Combinatorial embedded contact homology for toric contact manifolds

Keon Choi

Combinatorial embedded contact homology for toric contact manifolds

Symplectic Geometry 2016-08-30 v1

Authors: Keon Choi

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].

Keywords

embedded contact homology ECH toric contact manifolds combinatorial formulation symplectic embeddings chain complexes Conjecture A.3

Cite

@article{arxiv.1608.07988,
  title  = {Combinatorial embedded contact homology for toric contact manifolds},
  author = {Keon Choi},
  journal= {arXiv preprint arXiv:1608.07988},
  year   = {2016}
}

Comments

30 pages, 5 figures

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