English

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

Symplectic Geometry 2025-10-20 v2

Abstract

We construct a compactly supported contact homeomorphism of R5\mathbb{R}^5, with the standard contact structure, which maps a Legendrian disc to a smooth nowhere Legendrian disc.

Keywords

Cite

@article{arxiv.2406.04194,
  title  = {$C^0$-flexibility of Legendrian discs in $\mathbb{R}^5$},
  author = {Maksim Stokić},
  journal= {arXiv preprint arXiv:2406.04194},
  year   = {2025}
}

Comments

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