Surveys in Differential Geometry

Volume 25 (2020)

Legendrian contact homology in $\mathbb{R}^3$

Pages: 103 – 161



John B. Etnyre (Georgia Institute of Technology, Atlanta, Ga., U.S.A.)

Lenhard L. Ng (Duke University, Durham, North Carolina, U.S.A.)


This is an introduction to Legendrian contact homology and the Chekanov–Eliashberg differential graded algebra, with a focus on the setting of Legendrian knots in $\mathbb{R}^3$.

The first author was partially supported by NSF grant DMS-1608684 and DMS-1906414. The second author was partially supported by NSF grants DMS-1406371 and DMS-1707652.

Published 13 July 2022