Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2010
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1008.2734 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- This is the first of a series of papers devoted to proving the equivalence of Heegaard Floer homology and embedded contact homology (abbreviated ECH). In this paper we prove that, given a closed, oriented, contact $3$-manifold, there is an equivalence between ECH of the closed $3$-manifold and a version of ECH, defined on the complement of the binding of an adapted open book decomposition. In the appendix we give a full proof of the Morse-Bott gluing result that we need in this article and in the subsequent ones of the series proving the isomorphism between Heegaard Floer homology and ECH. V.8: we fixed a mistake in the appendix and added Yuan Yao as a coauthor.