Symplectic embeddings of the ℓ p -sum of two discs

Yaron Ostrover; Vinicius G.B. Ramos

doi:10.1142/S1793525321500242

Symplectic embeddings of the ℓ p -sum of two discs

Yaron Ostrover
, Vinicius G.B. Ramos

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study symplectic embedding questions for the ℓp-sum of two discs in R4, when 1 ≤ p ≤∞. 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.

Original language	English
Pages (from-to)	793-821
Number of pages	29
Journal	Journal of Topology and Analysis
Volume	14
Issue number	4
DOIs	https://doi.org/10.1142/S1793525321500242
State	Published - 1 Dec 2022

Keywords

Symplectic capacities
integrable Hamiltonian systems
symplectic embeddings
toric domains

ASJC Scopus subject areas

Analysis
Geometry and Topology

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10.1142/S1793525321500242

Cite this

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title = "Symplectic embeddings of the ℓ p -sum of two discs",

abstract = "In this paper, we study symplectic embedding questions for the ℓp-sum of two discs in R4, when 1 ≤ p ≤∞. 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.",

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AU - Ramos, Vinicius G.B.

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AB - In this paper, we study symplectic embedding questions for the ℓp-sum of two discs in R4, when 1 ≤ p ≤∞. 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.

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KW - integrable Hamiltonian systems

KW - symplectic embeddings

KW - toric domains

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DO - 10.1142/S1793525321500242

M3 - Article

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ER -

Symplectic embeddings of the ℓ p -sum of two discs

Abstract

Keywords

ASJC Scopus subject areas

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