Free subgroup of the C⁰ symplectic mapping class group

2022/11/10 by Alexandre Jannaud, Jannaud, Alexandre
Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2211.05570

openalex publication_date 2022/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the technology of barcodes and previously proven continuity results, we extend to C⁰ symplectic topology a beautiful result from Keating. Given two Lagrangian spheres in a Liouville domain, with good conditions, we prove that the Dehn twists about these spheres generate a free subgroup of the C⁰ symplectic mapping class group.

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