Symplectic embeddings of the ℓ p -sum of two discs

Yaron Ostrover, Vinicius G.B. Ramos*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)793-821
Number of pages29
JournalJournal of Topology and Analysis
Volume14
Issue number4
DOIs
StatePublished - 1 Dec 2022

Funding

FundersFunder number
IAS School of Mathematics
Jovem Cientista do Nosso Estado
Horizon 2020 Framework Programme637386
European Research Council
Conselho Nacional de Desenvolvimento Científico e Tecnológico305416/2017-0
Israel Science Foundation667/18
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

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