Free subgroup of the C0 symplectic mapping class group

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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