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


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
Issue number4
StatePublished - 1 Dec 2022


  • Symplectic capacities
  • integrable Hamiltonian systems
  • symplectic embeddings
  • toric domains


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