**Lecture Notes on Embedded Contact Homology**

by Michael Hutchings

**Publisher**: arXiv 2013**Number of pages**: 88

**Description**:

These notes give an introduction to embedded contact homology (ECH) of contact three-manifolds, gathering together many basic notions which are scattered across a number of papers. We also discuss the origins of ECH, including various remarks and examples which have not been previously published. Finally, we review the recent application to four-dimensional symplectic embedding problems.

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