Loose Legendrian embeddings in high dimensional contact manifolds
Symplectic Geometry
2019-03-13 v5
Abstract
We give an --principle type result for a class of Legendrian embeddings in contact manifolds of dimension at least . These Legendrians, referred to as loose, have trivial pseudo-holomorphic invariants. We demonstrate they are classified up to Legendrian isotopy by their smooth isotopy class equipped with an almost complex framing. This result is inherently high dimensional: analogous results in dimension are false.
Keywords
Cite
@article{arxiv.1201.2245,
title = {Loose Legendrian embeddings in high dimensional contact manifolds},
author = {Emmy Murphy},
journal= {arXiv preprint arXiv:1201.2245},
year = {2019}
}