2015/02/28 by Tobias Ekholm · 2 citations
Mathematics · #math.SG #msc:53D42 #msc:53D35
paper · pdf · doi:10.1112/jtopol/jtw008
The main result in the paper is wrong. The Legendrian spheres claimed to be non-loose are in fact loose. The author thanks Emmy Murphy showing that the spheres are loose
arxiv created 2018/02/13 · arxiv updated 2018/02/15
Loose Legendrian n-submanifolds, for n at least 2, were introduced by Murphy and proved to be flexible in the h-principle sense: any two loose Legendrian submanifolds that are formally Legendrian isotopic are also actually Legendrian isotopic. Legendrian contact homology is a Floer theoretic invariant that associates a differential graded algebra (DGA) to a Legendrian submanifold. The DGA of a loose Legendrian submanifold is trivial.