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Using the technology of barcodes and previously proven continuity results, weextend to $C^0$ symplectic topology a beautiful result from Keating. Given twoLagrangian spheres in a Liouville domain, with good conditions, we prove thatthe Dehn twists about these spheres generate a free subgroup of the $C^0$symplectic mapping class group.

Free subgroup of the $C^0$ symplectic mapping class group