Quantitative h-principle in symplectic geometry

Lev Buhovsky, Emmanuel Opshtein

Research output: Contribution to journalArticlepeer-review


We prove a quantitative h-principle statement for subcritical isotropic embeddings. As an application, we construct a symplectic homeomorphism that takes a symplectic disc into an isotropic one in dimension at least 6.

Original languageEnglish
Article number38
JournalJournal of Fixed Point Theory and Applications
Issue number2
StatePublished - Jun 2022


  • Flexibility
  • H-principle
  • Subcritical isotropic embedding
  • Symplectic homeomorphism

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Geometry and Topology
  • Applied Mathematics


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