Symplectic embeddings of the p -sum of two discs

Yaron Ostrover, Vinicius G.B. Ramos

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study symplectic embedding questions for the p-sum of two discs in 4, 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
JournalJournal of Topology and Analysis
DOIs
StateAccepted/In press - 2021

Keywords

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

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