English

Quantitative $h$-principle in symplectic geometry

Symplectic Geometry 2021-09-14 v2

Abstract

We prove a quantitative hh-principle statement for subcritical isotropic embeddings. As an application, we construct a symplectic homeomorphism that takes a symplectic disc into an isotropic one in dimension at least 66.

Keywords

Cite

@article{arxiv.2102.00416,
  title  = {Quantitative $h$-principle in symplectic geometry},
  author = {Lev Buhovsky and Emmanuel Opshtein},
  journal= {arXiv preprint arXiv:2102.00416},
  year   = {2021}
}

Comments

A gap which appeared in the previous version, was fixed. arXiv admin note: text overlap with arXiv:1603.02299

R2 v1 2026-06-23T22:41:45.263Z