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^*

^*Corresponding author for this work

School of Mathematical Sciences

Instituto National de Matemática Pura e Aplicada

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

4 Scopus citations

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

Funding

Funders	Funder number
IAS School of Mathematics
Jovem Cientista do Nosso Estado
Horizon 2020 Framework Programme	637386
European Research Council
Conselho Nacional de Desenvolvimento Científico e Tecnológico	305416/2017-0
Israel Science Foundation	667/18
Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
International AIDS Society
Instituto Serrapilheira

Keywords

Symplectic capacities
integrable Hamiltonian systems
symplectic embeddings
toric domains

Access to Document

10.1142/S1793525321500242

Cite this

@article{f65781bb276a47b6b9828b2ac47ffde8,

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.",

keywords = "Symplectic capacities, integrable Hamiltonian systems, symplectic embeddings, toric domains",

author = "Yaron Ostrover and Ramos, {Vinicius G.B.}",

note = "Publisher Copyright: {\textcopyright} 2022 World Scientific Publishing Company.",

year = "2022",

month = dec,

day = "1",

doi = "10.1142/S1793525321500242",

language = "אנגלית",

volume = "14",

pages = "793--821",

journal = "Journal of Topology and Analysis",

issn = "1793-5253",

publisher = "World Scientific",

number = "4",

}

TY - JOUR

T1 - Symplectic embeddings of the ℓ p -sum of two discs

AU - Ostrover, Yaron

AU - Ramos, Vinicius G.B.

PY - 2022/12/1

Y1 - 2022/12/1

N2 - 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.

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.

KW - Symplectic capacities

KW - integrable Hamiltonian systems

KW - symplectic embeddings

KW - toric domains

UR - http://www.scopus.com/inward/record.url?scp=85102735298&partnerID=8YFLogxK

U2 - 10.1142/S1793525321500242

DO - 10.1142/S1793525321500242

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85102735298

SN - 1793-5253

VL - 14

SP - 793

EP - 821

JO - Journal of Topology and Analysis

JF - Journal of Topology and Analysis

IS - 4

ER -

Symplectic embeddings of the ℓ p -sum of two discs

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this