Free subgroup of the $C^0$ symplectic mapping class group
Symplectic Geometry
2022-11-11 v1
Abstract
Using the technology of barcodes and previously proven continuity results, we extend to 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 symplectic mapping class group.
Keywords
Cite
@article{arxiv.2211.05570,
title = {Free subgroup of the $C^0$ symplectic mapping class group},
author = {Alexandre Jannaud},
journal= {arXiv preprint arXiv:2211.05570},
year = {2022}
}