Symplectic embeddings of the $\ell_p$-sum of two discs

Yaron Ostrover; Vinicius G. B. Ramos

Symplectic embeddings of the $\ell_p$-sum of two discs

Symplectic Geometry 2019-11-15 v1

Authors: Yaron Ostrover , Vinicius G. B. Ramos

Abstract

In this paper we study symplectic embedding questions for the $\ell_p$ -sum of two discs in ${\mathbb R}^4$ , when $1 \leq p \leq \infty$ . In particular, we compute the symplectic inner and outer radii in these cases, and show how different kinds of embedding rigidity and flexibility phenomena appear as a function of the parameter $p$ .

Keywords

symplectic embeddings lp-sum of discs inner radius outer radius embedding rigidity embedding flexibility

Cite

@article{arxiv.1911.06062,
  title  = {Symplectic embeddings of the $\ell_p$-sum of two discs},
  author = {Yaron Ostrover and Vinicius G. B. Ramos},
  journal= {arXiv preprint arXiv:1911.06062},
  year   = {2019}
}

Comments

32 pages, 3 figures

Related papers

View all related →