Quantitative h-principle in symplectic geometry

Lev Buhovsky*, Emmanuel Opshtein

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume24
Issue number2
DOIs
StatePublished - Jun 2022

Funding

FundersFunder number
Horizon 2020 Framework Programme757585
European Research Council
Israel Science Foundation2026/17

    Keywords

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

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