English

The Legendrian Whitney trick

Symplectic Geometry 2021-12-08 v1

Abstract

In this article, we prove a Legendrian Whitney trick which allows for the removal of intersections between codimension-two contact submanifolds and Legendrian submanifolds, assuming such a smooth cancellation is possible. This technique is applied to show the existence h-principle for codimension-two contact embeddings with a prescribed contact structure.

Keywords

Cite

@article{arxiv.1908.04828,
  title  = {The Legendrian Whitney trick},
  author = {Roger Casals and Dishant M. Pancholi and Francisco Presas},
  journal= {arXiv preprint arXiv:1908.04828},
  year   = {2021}
}

Comments

16 Pages, 5 Figures

R2 v1 2026-06-23T10:46:47.202Z