# The contact homology of Legendrian submanifolds in R2n+1

@article{Ekholm2005TheCH, title={The contact homology of Legendrian submanifolds in R2n+1}, author={Tobias Ekholm and John B. Etnyre and Michael G. Sullivan}, journal={Journal of Differential Geometry}, year={2005}, volume={71}, pages={177-305} }

We define the contact homology for Legendrian submanifolds in standard contact (2n + 1)-space using moduli spaces of holomorphic disks with Lagrangian boundary conditions in complex n-space. This homology provides new invariants of Legendrian isotopy which indicate that the theory of Legendrian isotopy is very rich. Indeed, in [4] the homology is used to detect infinite families of pairwise non-isotopic Legendrian submanifolds which are indistinguishable using previously known invariants. The…

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