Quantitative h-principle in symplectic geometry

2021/01/31 by Lev Buhovsky, Buhovsky, Lev, Emmanuel Opshtein +1
Mathematics · #53D05 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2102.00416

openalex publication_date 2021/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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.

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