$C^0$-flexibility of Legendrian discs in ${\mathbb{R}}^5$

Abstract

We construct a compactly supported contact homeomorphism of ${\mathbb{R}}^5$, with the standard contact structure, which maps a Legendrian disc to a smooth nowhere Legendrian disc.

arXiv commentNote added: We noticed a gap in the proof of Proposition 2.6. We are currently working on fixing it